Solar-Terrestrial Physics Solar-Terrestrial Physics Солнечно-земная физика / Solnechno-Zemnaya Fizika / Solar-Terrestrial Physics 2712-9640 29239 10.12737/szf-61202001 Обзоры Reviews Обзоры Quasi-periodic pulsations in solar and stellar flares. Review Квазипериодические пульсации в солнечных и звездных вспышках. Обзор Куприянова Елена Геннадьевна Kupriyanova Elena Gennadievna elenku@bk.ru

кандидат физико-математических наук;

candidate of physical and mathematical sciences;

 Колотков Дмитрий Юрьевич Kolotkov Dmitrii Yurievich d.kolotkov.1@warwick.ac.uk Накаряков Валерий Михайлович Nakariakov Valery Mihailovich V.Nakariakov@warwick.ac.uk

кандидат физико-математических наук;

candidate of physical and mathematical sciences;

 Кауфман Анастасия Сергеевна Kaufman Anastasiia Sergeevna deres@iszf.irk.ru

кандидат физико-математических наук;

candidate of physical and mathematical sciences;

 Главная (Пулковская) астрономическая обсерватория РАН Санкт-Петербург Россия Central Astronomical Observatory at Pulkovo of RAS Saint Petersburg Russian Federation Уорикский Университет Ковентри Великобритания University of Warwick Coventry United Kingdom Институт солнечно-земной физики СО РАН Иркутск Россия Institute of Solar-Terrestrial Physics SB RAS Irkutsk Russian Federation Уорикский Университет Ковентри Великобритания University of Warwick Coventry United Kingdom Санкт-Петербургский филиал Специальной астрофизической обсерватории РАН Санкт-Петербург Россия Saint Petersburg branch of Special Astrophysical Observatory RAS Saint Petersburg Russian Federation Институт солнечно-земной физики СО РАН Иркутск Россия Institute of Solar-Terrestrial Physics SB RAS Irkutsk Russian Federation 6 1 3 29 https://zh-szf.ru/en/nauka/article/29239/view

В статье представлен обзор современного состояния исследований колебательных процессов в солнечных и звездных вспышках, основанных на наблюдательных данных наземных и космических инструментов с высоким временны́м, пространственным и спектральным разрешением в разных диапазонах электромагнитного спектра. Рассматриваются механизмы генерации вспышечного излучения и его квазипериодической модуляции. Обсуждаются сходство и различие солнечных и звездных вспышек, а также связанные с этим проблемы супервспышек на Солнце и космической погоды. Показано, что квазипериодические пульсации (КПП) вспышечного излучения являются эффективным инструментом диагностики как самих вспышечных процессов, так и параметров тепловой плазмы и ускоренных частиц. Рассматриваются виды КПП, их статистические свойства и методы анализа с учетом нестационарности параметров КПП. Сделан обзор предполагаемых механизмов КПП и открытых вопросов.

This paper provides an overview of the state-of-the-art studies of oscillatory processes in solar and stellar flares, based on modern observational data from ground-based and space-borne instruments with high temporal, spatial, and spectral resolution in different electro-magnetic spectrum ranges. We examine the mechanisms that generate flare emission and its quasi-periodic modulation. We discuss similarities and differences between solar and stellar flares, and address associated problems of superflares on the Sun and space weather problems. Quasi-periodic pulsations (QPPs) of flare radiation are shown to be an effective tool for diagnosing both the flare processes themselves and the parameters of flare plasma and accelerated particles. We consider types of QPPs, their statistical properties, and methods of analysis, taking into account the non-stationarity of the QPPs’ parameters. We review the proposed mechanisms of QPPs and address open questions.

 Солнце солнечная активность солнечные вспышки звездные вспышки квазипериодические пульсации Sun solar activity solar flares stellar flares quasi-periodic pulsations

Гуревич С.И. Еще раз о влиянии геомагнитных штормов на работу релейной защиты // Релейная защита и автоматизация. 2016. № 2 (23). С. 19-21. Aptekar R.L., Frederiks D.D., Golenetskii S.V., Ilynskii V.N., Mazets E.P., Panov V.N., et al. Konus-W gamma-ray burst experiment for the GGS Wind Spacecraft. Space Sci. Rev. 1995, vol. 71, iss. 1-4, pp. 265-272. DOI: 10.1007/BF00751332. Зайцев В.В., Степанов А.В. О природе пульсаций солнечного радиоизлучения IV типа // Иссл. по геомагнетизму, аэрономии и физике Солнца. 1975. № 37. С. 3. Armstrong D.J., Pugh C.E., Broomhall A.-M., Brown D.J.A., Lund M.N. Osborn H.P., et al. The host stars of Kepler's habitable exoplanets: superflares, rotation and activity. Mon. Not. Roy. Astron. Soc. 2016, vol. 455, pp. 3110-3125. DOI: 10.1093/mnras/stv2419. Зайцев В.В., Степанов А.В. О происхождении пульсаций жесткого рентгеновского излучения солнечных вспышек // Письма в АЖ. 1982. Т. 8. С. 248-252. Artemyev A., Zimovets I. Stability of current sheets in the solar corona. Solar Phys. 2012, vol. 277, iss. 2, pp. 283-298. DOI: 10.1007/s11207-011-9908-1. Зайцев В.В., Степанов А.В. Корональные магнитные арки // Успехи физ. наук. 2008. Т. 178, № 11. С. 1165-1204. Aulanier G., Janvier M., Schmieder B. The standard flare model in three dimensions. I. Strong-to-weak shear transition in post-flare loops. Astron. and Astrophys. 2012, vol. 543, id. A110, 14 p. DOI: 10.1051/0004-6361/201219311. Лесовой С.В., Алтынцев А.Т., Кочанов А.А. и др. Сибирский радиогелиограф: первые результаты // Солнечно-земная физика. 2017. Т. 3, № 1. С. 3-16. DOI: 10.12737/23588. Aulanier G., Démoulin P., Schrijver C.J., Janvier M., Pariat E., Schmieder B. The standard flare model in three dimensions. II. Upper limit on solar flare energy. Astron. and Astrophys. 2013, vol. 549, id. A66, 7 p. DOI: 10.1051/0004-6361/201220406. Сомов Б.В. Магнитное пересоединение в солнечных вспышках // Успехи физ. наук. 2010. Т. 180. С. 997-1000. Balona L.A., Broomhall A.-M., Kosovichev A., Nakariakov V.M., Pugh C.E., Van Doorsselaere T. Oscillations in stellar superflares. Mon. Not. Roy. Astron. Soc. 2015, vol. 450, iss. 1, pp. 956-966. DOI: 10.1093/mnras/stv661. Хайкин С.Э., Кайдановский Н.Л., Парийский Ю.Н. и др. Радиотелескоп РАТАН-600 // Изв. Главной астрономической обсерватории в Пулкове. 1972. Т. 188. С. 3-12. Barta M., Buchner J., Karlicky M., Skala J. Spontaneous current-layer fragmentation and cascading reconnection in solar flares. I. Model and analysis. The Astrophys. J. 2011, vol. 737, id. 24. 11 p. DOI: 10.1088/0004-637X/737/1/24. Aptekar R.L., Frederiks D.D., Golenetskii S.V., et al. Konus-W gamma-ray burst experiment for the GGS Wind spacecraft // Space Sci. Rev. 1995. V. 71, iss. 1-4. P. 265-272. DOI: 10.1007/BF00751332. Battaglia M., Motorina G., Kontar E.P. Multithermal representation of the kappa-distribution of solar flare electrons and application to simultaneous X-ray and EUV observations. The Astrophys. J. 2015, vol. 815, id. 73, 8 p. DOI: 10.1088/0004-637X/815/1/73. Armstrong D.J., Pugh C.E., Broomhall et al. The host stars of Kepler's habitable exoplanets: superflares, rotation and activity // Monthly Not. Royal Astron. Soc. 2016. V. 455. P. 3110-3125. DOI: 10.1093/mnras/stv2419. Benz A.O. Flare observations. Liv. Rev. Solar Phys. 2017, vol. 14, iss. 1, id. 2, 59 p. DOI: 10.1007/s41116-016-0004-3. Artemyev A., Zimovets I. Stability of current sheets in the solar corona // Solar Phys. 2012. V. 277, iss. 2. P. 283-298. DOI: 10.1007/s11207-011-9908-1. Benz A.O., Brajša R., Magdalenić J. Are there radio-quiet solar flares? Solar Phys. 2007, vol. 240, iss. 2, pp. 63-270. DOI: 10.1007/s11207-007-0365-9. Aulanier G., Démoulin P., Schrijver C. J., Janvier M., Pariat E., Schmieder B. The standard flare model in three dimensions. II. Upper limit on solar flare energy // Astron. Astrophys. 2013. V. 549, id. A66. 7 p. DOI: 10.1051/0004-6361/201220406. Bogachev S.A., Somov B.V., Kosugi T., Sakao T. The motions of the hard X-ray sources in solar flares: Images and statistics. The Astrophys. J. 2005, vol. 630, iss. 1, pp. 561-572. DOI: 10.1086/431918. Aulanier G., Janvier M., Schmieder B. The standard flare model in three dimensions. I. Strong-to-weak shear transition in post-flare loops // Astron. Astrophys. 2012. V. 543, id. A110. 14 p. DOI: 10.1051/0004-6361/201219311. Broomhall A.-M., Davenport J., Hayes L., Inglis A., Kolotkov D., McLaughlin J., et al. A blueprint of state-of-the-art techniques for detecting quasi-periodic pulsations in solar and stellar flares. The Astrophys. J. Suppl. Ser. 2019, vol. 244, iss. 2, id. 44, 37 p. DOI: 10.3847/1538-4365/ab40b3. Balona L.A., Broomhall A.-M., Kosovichev A., et al. Oscillations in stellar superflares // Mon. Not. Roy. Astron. Soc. 2015. V. 450, iss. 1. P. 956-966. DOI: 10.1093/mnras/ stv661. Carrington R.C. description of a singular appearance seen in the Sun on September 1, 1859. Mon. Not. Roy. Astron. Soc. vol. 20, pp.13-15. DOI: 10.1093/mnras/20.1.13. Barta M., Buchner J., Karlicky M., Skala J. Spontaneous current-layer fragmentation and cascading reconnection in solar flares. I. Model and analysis // The Astrophys. J. 2011. V. 737, id. 24. 11 p. DOI: 10.1088/0004-637X/737/1/24. Caspi A., Lin R.P. RHESSI line and continuum observations of super-hot flare plasma. The Astrophys. J. Lett. 2010, vol. 725, pp. L161-L166. DOI: 10.1088/2041-8205/725/2/L161. Battaglia M., Motorina G., Kontar E.P. Multithermal representation of the kappa-distribution of solar flare electrons and application to simultaneous X-ray and EUV observations // The Astrophys. J. 2015. V. 815, id. 73. 8 p. DOI: 10.1088/0004-637X/815/1/73. Chen P.F., Priest E.R. Transition-region explosive events: Reconnection modulated by p-mode waves. Solar Phys. 2006, vol. 238, iss. 2, pp. 313-327. DOI: 10.1007/s11207-006-0215-1. Benz A.O. Flare observations // Liv. Rev. Solar Phys. 2017. V. 14, iss. 1, id. 2. 59 p. DOI: 10.12942/lrsp-2008-1. Cho I.-H., Cho K.-S., Nakariakov V.M., Kim S., Kumar P. Comparison of damped oscillations in solar and stellar X-ray flares. Astrophys. J. 2016, vol. 830, iss. 2, id. 110, 12 p. DOI: 10.3847/0004-637X/830/2/110. Benz A.O., Brajša R., Magdalenić J. Are there radio-quiet solar flares? // Solar Phys. 2007. V. 240, iss. 2. P. 63-270. DOI: 10.1007/s11207-007-0365-9. Davenport J.R.A., Hawley S.L., Hebb L., Wisniewski J.P., Kowalski A.F., Johnson E.C., et al. Kepler flares. II. The temporal morphology of white-light flares on GJ 1243. The Astrophys. J. 2014, vol. 797, iss. 2, id. 122, 11 p. DOI: 10.1088/0004-637X/797/2/122. Bogachev S.A., Somov B.V., Kosugi T., Sakao T. The motions of the hard X-ray sources in solar flares: images and statistics // The Astrophys. J. 2005. V. 630, iss. 1. P. 561-572. DOI: 10.1086/431918. Dolla L., Marqué C., Seaton D. B., Van Doorsselaere T., Dominique M., Berghmans D., et al. Time delays in quasi-periodic pulsations observed during the X2.2 solar flare on 2011 February 15. The Astrophys. J. Lett. 2012, vol. 749, iss. 1, id. L16, 7 p. DOI: 10.1088/2041-8205/749/1/L16. Broomhall A.-M., Davenport J., Hayes L., et al. A blueprint of state-of-the-art techniques for detecting quasi-periodic pulsations in solar and stellar flares // The Astrophys. J. Suppl. Ser. 2019. V. 244, iss. 2, id. 44, 37 p. DOI: 10.3847/1538-4365/ab40b3. Dominique M., Zhukov A.N., Dolla L. Inglis A., Lapenta G. Detection of quasi-periodic pulsations in solar EUV time series. Solar Phys. 2018, vol. 293, iss. 4, id. 61, 24 p. DOI: 10.1007/s11207-018-1281-x. Carrington R.C. Description of a singular appearance seen in the Sun on September 1, 1859 // Mon. Not. Roy. Astron. Soc. 1859. V. 20. P. 13-15. DOI: 10.1093/mnras/20.1.13. Doyle J.G., Shetye J., Antonova A.E., Kolotkov D.Y., Srivastava A.K., Stangalini M., et al. Stellar flare oscillations: evidence for oscillatory reconnection and evolution of MHD modes. Mon. Not. Roy. Astron. Soc. 2018, vol. 475, iss. 2, pp. 2842-2851. DOI: 2018MNRAS.475.2842D. Caspi A., Lin R.P. RHESSI line and continuum observations of super-hot flare plasma // The Astrophys. J. Lett. 2010. V. 725. P. L161-L166. DOI: 10.1088/2041-8205/725/2/L161. Dubinov A.E., Kolotkov D.Y. Above the weak nonlinearity: super-nonlinear waves in astrophysical and laboratory plasmas. Rev. Mod. Plasma Phys. 2018, vol. 2, id. 2, 46 p. DOI: 10.1007/s41614-018-0014-9. Chen P.F., Priest E.R. Transition-region explosive events: reconnection modulated by p-mode waves // Solar Phys. 2006. V. 238, iss. 2. P. 313-327. DOI: 10.1007/s11207-006-0215-1. Dudík J., Dzifčáková E., Karlický M., Kulinová A. The bound-bound and free-free radiative losses for the nonthermal distribution in solar and stellar coronae. Astron. and Astrophys. 2011. vol. 529, id. A103, 14 p. DOI: 10.1051/0004-6361/201016329. Cho I.-H., Cho K.-S., Nakariakov V.M., et al. Comparison of damped oscillations in solar and stellar X-ray flares // The Astrophys. J. 2016. V. 830, iss. 2, id. 110. 12 p. DOI: 10.3847/0004-637X/830/2/110. Dulk G.A., Marsh K.A. Simplified expressions for the gyrosynchrotron radiation from mildly relativistic, nonthermal and thermal electrons. The Astrophys. J. 1982, vol. 259, pp. 350-358. DOI: 10.1086/160171. Davenport J.R.A., Hawley S.L., Hebb L., et al. Kepler flares. II. The temporal morphology of white-light flares on GJ 1243 // The Astrophys. J. 2014. V. 797, iss. 2, id. 122. 11 p. DOI: 10.1088/0004-637X/797/2/122. Edwin P.M., Roberts B. Wave propagation in a magnetic cylinder. Solar Phys. 1983, vol. 88, iss. 1-2, pp. 179-191. DOI: 10.1007/BF00196186. Dolla L., Marqué C., Seaton D.B., et al. Time delays in quasi-periodic pulsations observed during the X2.2 solar flare on 2011 February 15 // The Astrophys. J. Lett. 2012. V. 749, iss. 1, id. L16. 7 p. DOI: 10.1088/2041-8205/749/1/L16. Erkaev N.V., Semenov V.S., Biernat H.K. Magnetic double-gradient instability and flapping waves in a current sheet. Phys. Rev. Lett. 2007, vol. 99, iss. 23, id. 235003. DOI: 10.1103/PhysRevLett.99.235003. Dominique M., Zhukov A.N., Dolla L. et al. Detection of quasi-periodic pulsations in solar EUV time series // Solar Phys. 2018. V. 293, iss. 4, id. 61. 24 p. DOI: 10.1007/s11207-018-1281-x. Field G.B. Thermal instability. The Astrophys. J. 1965, vol. 142, p. 531. DOI: 10.1086/148317. Doyle J.G., Shetye J., Antonova A.E., et al. Stellar flare oscillations: evidence for oscillatory reconnection and evolution of MHD modes // Mon. Not. Roy. Astron. Soc. 2018. V. 475, iss. 2. P. 2842-2851. DOI: 10.1093/mnras/sty032. Fleishman G.D., Kontar E.P. Sub-THz radiation mechanisms in solar flares. The Astrophys. J. Lett. 2010, vol. 709, iss. 2, pp. L127-L132. DOI: 10.1088/2041-8205/709/2/L127. Dubinov A.E., Kolotkov D.Y. Above the weak nonlinearity: super-nonlinear waves in astrophysical and laboratory plasmas // Rev. Modern Plasma Phys. 2018. V. 2, id. 2. 46 p. DOI: 10.1007/s41614-018-0014-9. Fleishman G.D., Kontar E.P., Nita G.M., Gary D.E. A cold, tenuous solar flare: Acceleration without heating. The Astrophys. J. Lett. 2011, vol. 731, iss. 1, id. L19, 6 p. DOI: 10.1088/2041-8205/731/1/L19. Dudík J., Dzifčáková E., Karlický M., Kulinová A. The bound-bound and free-free radiative losses for the nonthermal distribution in solar and stellar coronae // Astron. Astrophys. 2011. V. 529, id. A103. 14 p. DOI: 10.1051/0004-6361/ 201016329. Frissell N.A., Vega J.S., Markowitz E., Gerrard A.J., Engelke W.D., Erickson P.J., et al. High-frequency communications response to solar activity in September 2017 as observed by amateur radio networks. Space Weather. 2019, vol. 17, pp. 118-132. DOI: 10.1029/2018SW002008. Dulk G.A., Marsh K.A. Simplified expressions for the gyrosynchrotron radiation from mildly relativistic, nonthermal and thermal electrons // The Astrophys. J. 1982. V. 259. P. 350-358. DOI: 10.1086/160171. Gershberg R.E. Solar-Type Activity in Main-Sequence Stars. Springer, Berlin, Heidelberg, 2005, 496 p. DOI: 10.1007/3-540-28243-2. Edwin P.M., Roberts B. Wave propagation in a magnetic cylinder // Solar Phys. 1983. V. 88, iss. 1-2. P. 179-191. DOI: 10.1007/BF00196186. Goddard C.R., Nisticò G., Nakariakov V.M., Zimovets I.V. A statistical study of decaying kink oscillations detected using SDO/AIA. Astron. and Astrophys. 2016, vol. 585, id. A137, 9 p. DOI: 10.1051/0004-6361/201527341. Erkaev N.V., Semenov V.S., Biernat H.K. Magnetic double-gradient instability and flapping waves in a current sheet // Phys. Rev. Lett. 2007. V. 99, iss. 23, id. 235003. DOI: 10.1103/Phys RevLett.99.235003. Golub L., Deluca E., Austin G., Bookbinder J., Caldwell D., Cheimets P., et al. The X-Ray Telescope (XRT) for the Hinode Mission. Solar Phys. 2007, vol. 243, iss. 1, pp. 63-86. DOI: 10.1007/s11207-007-0182-1. Field G.B. Thermal Instability // The Astrophys. J. 1965. V. 142. P. 531. DOI: 10.1086/148317. Gryciuk M., Siarkowski M., Sylwester J., Gburek S., Podgorski P., Kepa A., et al. Flare characteristics from X-ray light curves. Solar Phys. 2017, vol. 292, iss. 6, id. 77, 19 p. DOI: 10.1007/s11207-017-1101-8. Fleishman G.D., Kontar E.P. Sub-Thz radiation mechanisms in solar flares // The Astrophys. J. Lett. 2010. V. 709. iss. 2. P. L127-L132. DOI: 10.1088/2041-8205/709/2/L127. Guo M.-Z., Chen S.-X., Li B., Xia L.-D., Yu H. Inferring flare loop parameters with measurements of standing sausage modes. Solar Phys. 2016, vol. 291, iss. 3, pp. 877-896. DOI: 10.1007/s11207-016-0868-3. Fleishman G.D., Kontar E.P., Nita G.M., Gary D.E. A cold, tenuous solar flare: acceleration without heating // The Astrophys. J. Lett. 2011. V. 731, iss. 1, id. L19. 6 p. DOI: 10.1088/2041-8205/731/1/L19. Gurevich S.I. Once more about effect of geomagnetic storms on the relay protection. Releinaya zashchita I avtomatizatsiya [Relay protection and automation]. 2016, no. 2 (23), pp. 19-21. (In Russian). Frissell N.A., Vega J.S., Markowitz E., et al. High-frequency communications response to solar activity in September 2017 as observed by amateur radio networks // Space Weather. 2019. V. 17. P. 118-132. DOI: 10.1029/2018SW002008. Hayes L.A., Gallagher P.T., Dennis B.R., Ireland J., Inglis A.R., Ryan D.F. Quasi-periodic pulsations during the impulsive and decay phases of an X-class flare. The Astrophys. J. Lett. 2016, vol. 827, iss. 2, id. L30, 6 p. DOI: 10.3847/2041-8205/827/2/L30. Gershberg R.E. Solar-Type Activity in Main-Sequence Stars. Springer, Berlin, Heidelberg, 2005. 496 p. DOI: 10.1007/3-540-28243-2. Hayes L.A., Gallagher P.T., McCauley J., Dennis B.R., Ireland J., Inglis A. Pulsations in the Earth's lower ionosphere synchronized with solar flare emission. J. Geophys. Res.: Space Phys. 2017, vol. 122, iss. 10, pp. 9841-9847. DOI: 10.1002/2017JA024647. Goddard C.R., Nisticò G., Nakariakov V.M., Zimovets I.V. A statistical study of decaying kink oscillations detected using SDO/AIA // Astron. Astrophys. 2016. V. 585, id. A137. 9 p. DOI: 10.1051/0004-6361/201527341. Hayes L.A., Gallagher P.T., Dennis B.R., Ireland J., Inglis A., Morosan D.E. Persistent quasi-periodic pulsations during a large X-class solar flare. The Astrophys. J. 2019, vol. 875, iss. 1, id. 33, 11 p. DOI: 10.3847/1538-4357/ab0ca3. Golub L., Deluca E., Austin G., Bookbinder J., et al. The X-Ray Telescope (XRT) for the Hinode Mission // Solar Phys. 2007. V. 243, iss. 1. P. 63-86. DOI: 10.1007/s11207-007-0182-1. Heinzel P., Avrett E.H. Optical-to-radio continua in solar flares. Solar Phys. 2012, vol. 277, iss. 1, pp. 31-44. DOI: 10.1007/s11207-011-9823-5. Gryciuk M., Siarkowski M., Sylwester J., et al. Flare characteristics from X-ray light curves // Solar Phys. 2017. V. 292, iss. 6, id. 77. 19 p. DOI: 10.1007/s11207-017-1101-8. Heinzel P., Kleint L. Hydrogen Balmer continuum in solar flares detected by the Interface Region Imaging Spectrograph (IRIS). The Astrophys. J. Lett. 2014, vol. 794, iss. 2, id. L23, 6 p. DOI: 10.1088/2041-8205/794/2/L23. Guo M.-Z., Chen S.-X., Li B., et al. Inferring flare loop parameters with measurements of standing sausage modes // Solar Phys. 2016. V. 291, iss. 3. P. 877-896. DOI: 10.1007/ s11207-016-0868-3. Heinzel P., Shibata K. Can flare loops contribute to the white-light emission of stellar superflares? The Astrophys. J. 2018, vol. 859, iss. 2, id. 143, 7 p. DOI: 10.3847/1538-4357/aabe78. Hayes L.A., Gallagher P.T., Dennis B.R., et al. Quasi-periodic pulsations during the impulsive and decay phases of an X-class flare // The Astrophys. J. Lett. 2016. V. 827, iss. 2, id. L30. 6 p. DOI: 10.3847/2041-8205/827/2/L30. Hnat B., Kolotkov D.Y., O'Connell D., Nakariakov V.M., Rowlands G. Nonlinear waves in the terrestrial quasiparallel foreshock. Phys. Rev. Lett. 2016, vol. 117, id. 235102. DOI: 10.1103/PhysRevLett.117.235102. Hayes L.A., Gallagher P.T., McCauley J., et al. Pulsations in the Earth's lower ionosphere synchronized with solar flare emission // J. Geophys. Res.: Space Phys. 2017. V. 122, iss. 10. P. 9841-9847. DOI: 10.1002/2017JA024647. Holman G.D., Sui L., Schwartz R.A., Emslie A.G. Electron bremsstrahlung hard X-ray spectra, electron distributions, and energetics. The Astrophys. J. 2003, vol. 595, iss. 2, pp. L97-L101. DOI: 10.1086/378488. Hayes L.A., Gallagher P.T., Dennis B.R., et al. Persistent Quasi-periodic pulsations during a large X-class solar flare // The Astrophys. J. 2019. V. 875, iss. 1. Id. 33. 11 p. ¬DOI: 10.3847/1538-4357/ab0ca3. Huang N.E., Wu Z. A review on Hilbert-Huang transform: Method and its applications to geophysical studies. Rev. Geophys. 2008, vol. 46, iss. 2, Id. RG2006. DOI: 10.1029/2007RG000228. Heinzel P., Avrett E.H. Optical-to-radio continua in solar flares // Solar Phys. 2012. V. 277, iss. 1. P. 31-44. DOI: 10.1007/s11207-011-9823-5. Huang N.E., Shen Z., Long S.R., Wu M.C., Shih H.H., Zheng Q., et al. The empirical mode decomposition and the Hilbert spectrum for nonlinear and non-stationary time series analysis. Royal Soc. London Proc. Ser. A. 1998, vol. 454, iss. 1971, pp. 903-998. DOI: 10.1098/rspa.1998.0193. Heinzel P., Kleint L. Hydrogen Balmer continuum in solar flares detected by the Interface Region Imaging Spectrograph (IRIS) // The Astrophys. J. Lett. 2014. V. 794, iss. 2, id. L23. 6 p. DOI: 10.1088/2041-8205/794/2/L23. Hudson H.S. Chasing white-light flares. Solar Phys. 2016, vol. 291, iss. 5, pp. 1273-1322. DOI: 10.1007/s11207-016-0904-3. Heinzel P., Shibata K. Can flare loops contribute to the white-light emission of stellar superflares? // The Astrophys. J. 2018. V. 859, iss. 2, id. 143. 7 p. DOI: 10.3847/1538-4357/ aabe78. Hudson H.S., Canfield R.C., Kane S.R. Indirect estimation of energy deposition by non-thermal electrons in solar flares. Solar Phys. 1978, vol. 60, p. 137-142. DOI: 10.1007/BF00152338. Hnat B., Kolotkov D.Y., O'Connell D., et al. Nonlinear waves in the terrestrial quasiparallel foreshock // Phys. Rev. Lett. 2016. V. 117, id. 235102. DOI: 10.1103/PhysRevLett. 117.235102. Inglis A.R., Nakariakov V.M. A multi-periodic oscillatory event in a solar flare. Astron. and Astrophys. 2009, vol. 493, iss. 1, pp. 259-266. DOI: 10.1051/0004-6361:200810473. Holman G.D., Sui L., Schwartz R.A., Emslie A.G. Electron bremsstrahlung hard X-ray spectra, electron distributions, and energetics // The Astrophys. J. 2003. V. 595, iss. 2. P. L97-L101. DOI: 10.1086/378488. Inglis A.R., van Doorsselaere T., Brady C.S., Nakaria-kov V.M. Characteristics of magnetoacoustic sausage modes. Astron. and Astrophys. 2009, vol. 503, iss. 2, pp. 569-575. DOI: 10.1051/0004-6361/200912088. Huang N.E., Wu Z. A review on Hilbert-Huang transform: Method and its applications to geophysical studies // Rev. Geophys. 2008. V. 46, iss. 2, id. RG2006. DOI: 10.1029/ 2007RG000228. Inglis A.R., Ireland J., Dennis B.R., Hayes L., Gallagher P. A large-scale search for evidence of quasi-periodic pulsations in solar flares. The Astrophys. J. 2016, vol. 833, iss. 2, id. 284, 16 p. DOI: 10.3847/1538-4357/833/2/284. Huang N.E., Shen Z., Long S.R., et al. The empirical mode decomposition and the Hilbert spectrum for nonlinear and non-stationary time series analysis // Ro. Soc. London Proc. Ser. A. 1998. V. 454, iss. 1971. P. 903-998. DOI: 10.1098/rspa.1998.0193. Jakimiec J., Tomczak M. Investigation of quasi-periodic variations in hard X-rays of solar flares. II. Further investigation of oscillating magnetic traps. Solar Phys. 2012, vol. 278, pp. 393-410. DOI: 10.1007/s11207-012-9934-7. Hudson H.S. Chasing white-light flares // Solar Phys. 2016. V. 291, iss. 5. P. 1273-1322. DOI: 10.1007/s11207-016-0904-3. Jelínek P., Karlický M., Van Doorsselaere T., Bárta M. Oscillations excited by plasmoids formed during magnetic reconnection in a vertical gravitationally stratified current sheet. The Astrophys. J. 2017, vol. 847, iss. 2, id. 98, 15 p. DOI: 10.3847/1538-4357/aa88a6. Hudson H.S., Canfield R.C., Kane S.R. Indirect estimation of energy deposition by non-thermal electrons in solar flares // Solar Phys. 1978. V. 60. P. 137-142. DOI: 10.1007/ BF00152338. Jenkins A. Self-oscillation. Phys. Rep. 2013, vol. 525, pp. 167-222. DOI: 10.1016/j.physrep.2012.10.007. Inglis A.R., Nakariakov V.M. A multi-periodic oscillatory event in a solar flare // Astron. Astrophys. 2009. V. 493, iss. 1. P. 259-266. DOI: 10.1051/0004-6361:200810473. Kane S.R., Kai K., Kosugi T., Enome S., Landecker P.B., McKenzie D.L. Acceleration and confinement of energetic particles in the 1980 June 7 solar flare. The Astrophys. J. 1983, vol. 271, pp. 376-387. DOI: 10.1086/161203. Inglis A.R., van Doorsselaere T., Brady C.S., Nakariakov V.M. Characteristics of magnetoacoustic sausage modes // Astron. Astrophys. 2009. V. 503, iss. 2. P. 569-575. DOI: 10.1051/0004-6361/200912088. Kashapova L.K., Tokhchukova S.K., Rudenko G.V., Bogod V.M., Muratov A.A. On the possible mechanisms of energy release in a C-class flare. Cen. Europ. Astrophys. Bull. 2013, vol. 37, pp. 573-583. Inglis A.R., Ireland J., Dennis B.R., et al. A large-scale search for evidence of quasi-periodic pulsations in solar flares // The Astrophys. J. 2016. V. 833, iss. 2, id. 284. 16 p. DOI: 10.3847/1538-4357/833/2/284. Katsova M.M., Kitchatinov L.L., Livshits M.A., Moss D.L., Sokoloff D.D., Usoskin I.G. Can superflares occur on the Sun? A view from dynamo theory. Astron. Rep. 2018, vol. 62, iss. 1, pp. 72-80. DOI: 10.1134/S106377291801002X. Jakimiec J., Tomczak M. Investigation of quasi-periodic variations in hard X-rays of solar flares. II. Further investigation of oscillating magnetic traps // Solar Phys. 2012. V. 278. P. 393-410. DOI: 10.1007/s11207-012-9934-7. Kaufmann P., Correia E., Costa J.E.R., Zodi Vaz A.M. A synchrotron/inverse Compton interpretation of a solar burst producing fast pulses at lambda less than 3-mm and hard X-rays. Astron. and Astrophys. 1986, vol. 157, pp. 11-18. Jelínek P., Karlický M., Van Doorsselaere T., Bárta M. Oscillations excited by plasmoids formed during magnetic reconnection in a vertical gravitationally stratified current sheet // The Astrophys. J. 2017. V. 847, iss. 2, id. 98. 15 p. DOI: 10.3847/1538-4357/aa88a6. Khaikin S.E., Kaidanovsky N.L., Pariisky Yu.N., Esepkina N.A. Radio telescope RATAN-600. Izvestiya Glavnoi astronomicheskoi observatorii v Pulkove [Bulletin of the Main Astronomical Observatory at Pulkovo]. 1972, vol. 188, pp. 3-12. (In Russian). Jenkins A. Self-oscillation // Phys. Rep. 2013. V. 525. P. 167-222. DOI: 10.1016/j.physrep.2012.10.007. Kim S., Nakariakov V.M., Shibasaki K. Slow magnetoacoustic oscillations in the microwave emission of solar flares. The Astrophys. J. Lett. 2012, vol. 756, iss. 2, id. L36, 5 p. DOI: 10.1088/2041-8205/756/2/L36. Kane S.R., Kai K., Kosugi T., Enome S., et al. Acceleration and confinement of energetic particles in the 1980 June 7 solar flare // The Astrophys. J. 1983. V. 271. P. 376-387. DOI: 10.1086/161203. Kislyakov A.G., Zaitsev V.V., Stepanov A.V., Urpo S. On the possible connection between photospheric 5-min oscillation and solar flare microwave emission. Solar Phys. 2006, vol. 233, pp. 89-106. DOI: 10.1007/s11207-006-2850-y. Kashapova L.K., Tokhchukova S.K., Rudenko G.V., et al. On the possible mechanisms of energy release in a C-class flare // Cen. Europ. Astrophys. Bull. 2013. V. 37. P. 573-583. Kitchatinov L.L., Olemskoy S.V. Dynamo model for grand maxima of solar activity: can superflares occur on the Sun? Mon. Not. Roy. Astron. Soc. 2016, vol. 459, iss. 4, pp. 4353-4359. DOI: 10.1093/mnras/stw875. Katsova M.M., Kitchatinov L.L., Livshits M.A., et al. Can superflares occur on the Sun? A view from dynamo theory // Astron. Rep. 2018. V. 62, iss. 1. P. 72-80. DOI: 10.1134/S106377291801002X. Kliem B., Karlický M., Benz A.O. Solar flare radio pulsations as a signature of dynamic magnetic reconnection. Astron. and Astrophys. 2000, vol. 360, pp. 715-728 Kaufmann P., Correa E., Costa J.E.R., Zodi Vaz A.M. A synchrotron inverse Compton interpretation of a solar burst producing fast pulses at lambda less than 3 mm and hard X-rays // Astron. Astrophys. 1986. V. 157. P. 11-18. Kolotkov D.Y., Nakariakov V.M., Kupriyanova E.G., Ratcliffe H., Shibasaki K. Multi-mode quasi-periodic pulsations in a solar flare. Astron. and Astrophys. 2015, vol. 574, id. A53, 6 p. DOI: 10.1051/0004-6361/201424988. Kim S., Nakariakov V.M., Shibasaki K. Slow magnetoacoustic oscillations in the microwave emission of solar flares // The Astrophys. J. Lett. 2012. V. 756, iss. 2, id. L36. 5 p. DOI: 10.1088/2041-8205/756/2/L36. Kolotkov D.Y., Anfinogentov S.A., Nakariakov V.M. Empirical mode decomposition analysis of random processes in the solar atmosphere. Astron. and Astrophys. 2016a, vol. 592, id. A153, 9 p. DOI: 10.1051/0004-6361/201628306. Kislyakov A.G., Zaitsev V.V., Stepanov A.V., Urpo S. On the possible connection between photospheric 5-min oscillation and solar flare microwave emission // Solar Phys. 2006. V. 233. P. 89-106. DOI: 10.1007/s11207-006-2850-y. Kolotkov D.Y., Nakariakov V.M., Rowlands G. Nonlinear oscillations of coalescing magnetic flux ropes. Phys. Rev. E. 2016b, vol. 93, iss. 5, id. 053205. DOI: 10.1103/PhysRevE. 93.053205. Kitchatinov L.L., Olemskoy S.V. Dynamo model for grand maxima of solar activity: can superflares occur on the Sun? // Mon. Not. Roy. Astron. Soc. 2016. V. 459, iss. 4. P. 4353-4359. DOI: 10.1093/mnras/stw875. Kolotkov D.Y., Pugh C.E., Broomhall A.-M., Nakariakov V.M. Quasi-periodic pulsations in the most powerful solar flare of cycle 24. The Astrophys. J. Lett. 2018, vol. 858, iss. 1, id. L3, 8 p. DOI: 10.3847/2041-8213/aabde9. Kliem B., Karlický M., Benz A.O. Solar flare radio pulsations as a signature of dynamic magnetic reconnection // Astron. Astrophys. 2000. V. 360. P. 715-728. Kontar E.P., Motorina G.G., Jeffrey N.L.S., Tsap Y.T., Fleishman G.D., Stepanov A.V. Observation-driven model of the frequency rising sub-THz emission component in solar flares. Astron. and Astrophys. 2018, vol. 620, id. A95, 6 p. DOI: 10.1051/0004-6361/201834124. Kolotkov D.Y., Nakariakov V.M., Kupriyanova E.G., et al. Multi-mode quasi-periodic pulsations in a solar flare // Astron. Astrophys. 2015. V. 574, id. A53. 6 p. DOI: 10.1051/0004-6361/201424988. Kopylova Yu.G., Stepanov A.V., Tsap Yu.T. Radial oscillations of coronal loops and microwave radiation from solar flares. Astron. Lett. 2002, vol. 28, iss. 11, pp. 783-791. Kolotkov D.Y., Anfinogentov S.A., Nakariakov V.M. Empirical mode decomposition analysis of random processes in the solar atmosphere // Astron. Astrophys. 2016а. V. 592, id. A153. 9 p. DOI: 10.1051/0004-6361/201628306. Kopylova Yu.G., Melnikov A.V., Stepanov A.V., Tsap Yu.T., Goldvarg T.B. Oscillations of coronal loops and second pulsations of solar radio emission. Astron. Lett. 2007, vol. 33, iss. 10, pp. 706-713. DOI: 10.1134/S1063773707100088. Kolotkov D.Y., Nakariakov V.M., Rowlands G. Nonlinear oscillations of coalescing magnetic flux ropes // Phys. Rev. E. 2016b. V. 93, iss. 5, id. 053205. DOI: 10.1103/PhysRevE.93. 053205. Kotrč P., Procházka O., Heinzel P. New observations of Balmer continuum flux in solar flares. Instrument description and first results. Solar Phys. 2016, vol. 291, iss. 3, pp. 779-789. DOI: 10.1007/s11207-016-0860-y. Kolotkov D.Y., Pugh C.E., Broomhall A.-M., Nakariakov V.M. Quasi-periodic pulsations in the most powerful solar flare of cycle 24 // The Astrophys. J. Lett. 2018. V. 858, iss. 1, id. L3. 8 p. DOI: 10.3847/2041-8213/aabde9. Kretzschmar M. The Sun as a star: observations of white-light flares. Astron. and Astrophys. 2011, vol. 530, id. A84, 7 p. DOI: 10.1051/0004-6361/201015930. Kontar E.P., Motorina G.G., Jeffrey N.L.S., et al. Observation-driven model of the frequency rising sub-THz emission component in solar flares // Astron. Astrophys. 2018. V. 620, id. A95. 6 p. DOI: 10.1051/0004-6361/201834124. Kupriyanova E.G., Ratcliffe H. Minute pulsations in microwaves and X-rays during the flare on May 6, 2005. Adv. Space Res. 2016, vol. 57, iss. 7, pp. 1456-1467. DOI: 10.1016/j.asr.2016.01.012. Kopylova Yu.G., Stepanov A.V., Tsap Yu.T. Radial oscillations of coronal loops and microwave radiation from solar flares // Astron. Lett. 2002. V. 28, iss. 11. P. 783-791. Kupriyanova E.G., Melnikov V.F., Nakariakov V.M., Shibasaki K. Types of microwave quasi-periodic pulsations in single flaring loops. Solar Phys. 2010, vol. 267, pp. 329-342. DOI: 10.1007/s11207-010-9642-0. Kopylova Yu.G., Melnikov A.V., Stepanov A.V., et al. Oscillations of coronal loops and second pulsations of solar radio emission // Astron. Lett. 2007. V. 33, iss. 10. P. 706-713. DOI: 10.1134/S1063773707100088. Kupriyanova E.G., Kashapova L.K., Reid H.A.S., Myagkova I.N. Relationship of type III radio bursts with quasi-periodic pulsations in a solar flare. Solar Phys. 2016, vol. 291, iss. 11, pp. 3427-3438. DOI: 10.1007/s11207-016-0958-2. Kotrč P., Procházka O., Heinzel P. New observations of Balmer continuum flux in solar flares: Instrument description and first results // Solar Phys. 2016. V. 291, iss. 3. P. 779-789. DOI: 10.1007/s11207-016-0860-y. Kuznetsov S.N., Kudela K., Ryumin S.P., Gotselyuk Y.V. CORONAS-F satellite: Tasks for study of particle acceleration. Adv. Space Res. 2002, vol. 30, i. 7, pp. 1857-1863, DOI: 10.1016/S0273-1177(02)00462-3. Kretzschmar M. The Sun as a star: observations of white-light flares // Astron. Astrophys. 2011. V. 530, id. A84. 7 p. Kuznetsov S.A., Zimovets I.V., Morgachev A.S., Struminsky A.B. Spatio-temporal dynamics of sources of hard X-ray pulsations in solar flares. Solar Phys. 2016, vol. 291, iss. 11, pp. 3385-3426, DOI: 10.1007/s11207-016-0981-3. Kupriyanova E.G., Ratcliffe H. Minute pulsations in microwaves and X-rays during the flare on May 6, 2005 // Adv. Space Res. 2016. V. 57, iss. 7. P. 1456-1467. DOI: 10.1016/j.asr.2016.01.012. Lesovoi S., Altyntsev A., Kochanov A., Grechnev V., Gubin A., Zhdanov D., et al. Siberian Radioheliograph: first results. Solar-Terr. Phys. 2017, vol. 3, iss. 1, pp. 3-18. DOI: 10.12737/article_58f96ec60fec52.86165286. Kupriyanova E.G., Melnikov V.F., Nakariakov V.M., Shibasaki K. Types of microwave quasi-periodic pulsations in single flaring loops // Solar Phys. 2010. V. 267. P. 329-342. DOI: 10.1007/s11207-010-9642-0. Lin R.P., Hudson H.S. Non-thermal processes in large solar flares. Solar Phys. 1976, vol. 50, pp. 153-178. DOI: 10.1007/BF00206199. Kupriyanova E.G., Kashapova L.K., Reid H.A.S., Myag- kova I.N. Relationship of type III radio bursts with quasi-periodic pulsations in a solar flare // Solar Phys. 2016. V. 291, iss. 11. P. 3427-3438. DOI: 10.1007/s11207-016-0958-2. Lin R.P., Dennis B.R., Hurford G.J., Smith D.M., Zehnder A., Harvey P.R., et al. The Reuven Ramaty High-Energy Solar Spectroscopic Imager (RHESSI). Solar Phys. 2002, vol. 210, iss. 1, pp. 3-32. DOI: 10.1023/A:1022428818870. Kuznetsov S.N., Kudela K., Ryumin S.P., Gotselyuk Y.V. CORONAS-F satellite: Tasks for study of particle acceleration // Adv. Space Res. 2002. V. 30, iss. 7. P. 1857-1863. DOI: 10.1016/S0273-1177(02)00462-3. Loukitcheva M., Solanki S.K., Carlsson M., Stein R.F. Millimeter observations and chromospheric dynamics. Astron. and Astrophys. 2004, vol. 419, pp. 747-756. DOI: 10.1051/ 0004-6361:20034159. Kuznetsov S.A., Zimovets I.V., Morgachev A.S., Struminsky A.B. Spatio-temporal dynamics of sources of hard X-ray pulsations in solar flares // Solar Phys. 2016. V. 291, iss. 11. P. 3385-3426. DOI: 10.1007/s11207-016-0981-3. Lysenko A.L., Altyntsev A.T., Meshalkina N.S., Zhdanov D., Fleishman G.D. Statistics of “cold” early impulsive solar flares in X-ray and microwave domains. The Astrophys. J. 2018, vol. 856, iss. 2, id. 111, 29 p. DOI: 10.3847/1538-4357/aab271. Lin R.P., Hudson H.S. Non-thermal processes in large solar flares // Solar Phys. 1976. V. 50. P. 153-178. DOI: 10.1007/BF00206199. Maehara H., Shibayama T., Notsu S., Notsu Y., Nagao T., Kusaba S., et al. Superflares on solar-type stars. Nature. 2012, vol. 485, iss. 7399, pp. 478-481. DOI: 10.1038/nature11063. Lin R.P., Dennis B.R., Hurford G.J., et al. The Reuven Ramaty High-Energy Solar Spectroscopic Imager (RHESSI) // Solar Phys. 2002. V. 210, iss. 1. P. 3-32. DOI: 10.1023/A:1022428818870. Maehara H., Shibayama T., Notsu Y., Notsu S., Honda S., Nogami D., et al. Statistical properties of superflares on solar-type stars based on 1-min cadence data. Earth, Planets and Space. 2015, vol. 67, id. 59, 10 p. DOI: 10.1186/s40623-015-0217-z. Loukitcheva M., Solanki S.K., Carlsson M., Stein R.F. Millimeter observations and chromospheric dynamics // Astron. Astrophys. 2004. V. 419. P. 747-756. DOI: 10.1051/ 0004-6361:20034159. Masuda S., Shimojo M., Kawate T., Ishikawa S., Ohno M. Extremely microwave-rich solar flare observed with Nobeyama Radioheliograph. Publ. Astron. Soc. Japan. 2013, vol. 65, iss. SP1, id. S1, 6 p. DOI: 10.1093/pasj/65.sp1.S1. Lysenko A.L., Altyntsev A.T., Meshalkina N.S., et al. Statistics of “cold” early impulsive solar flares in X-Ray and microwave domains // The Astrophys. J. 2018. V. 856, iss. 2, id. 111. 29 p. DOI: 10.3847/1538-4357/aab271. McLaughlin J.A., Hood A.W., de Moortel I. Review article: MHD wave propagation near coronal null points of magnetic fields. Space Sci. Rev. 2011, vol. 158, iss. 2-4, pp. 205-236. DOI: 10.1007/s11214-010-9654-y. Maehara H., Shibayama T., Notsu S., et al. Superflares on solar-type stars // Nature. 2012. V. 485, iss. 7399. P. 478-481. DOI: 10.1038/nature11063. McLaughlin J.A., Nakariakov V.M., Dominique M., Jelínek P., Takasao S. Modelling quasi-periodic pulsations in solar and stellar flares. Space Sci. Rev. 2018, vol. 214, id. 45, 54 p. DOI: 10.1007/s11214-018-0478-5. Maehara H., Shibayama T., Notsu Y., et al. Statistical properties of superflares on solar-type stars based on 1-min cadence data // Earth, Planets and Space. 2015. V. 67, id. 59. 10 p. DOI: 10.1186/s40623-015-0217-z. Mészárosová H., Karlický M., Rybák J., Jiřička K. Tadpoles in wavelet spectra of a solar decimetric radio burst. The Astrophys. J. Lett. 2009, vol. 697, iss. 2, pp. L108-L110. DOI: 10.1088/0004-637X/697/2/L108. Masuda S., Shimojo M., Kawate T., Ishikawa S., Ohno M. Extremely microwave-rich solar flare observed with Nobeyama Radioheliograph // Publ. Astron. Soc. Japan. 2013. V. 65, N. SP1, id. S1. 6 p. DOI: 10.1093/pasj/65.sp1.S1. Murray M. J., van Driel-Gesztelyi L., Baker D. Simulations of emerging flux in a coronal hole: oscillatory reconnection. Astron. and Astrophys. 2009, vol. 494, iss. 1. pp. 329-337, DOI: 10.1051/0004-6361:200810406. McLaughlin J.A., Hood A.W., de Moortel I. Review Article: MHD wave propagation near coronal null points of magnetic fields // Space Sci. Rev. 2011. V. 158, iss. 2-4. P. 205-236. DOI: 10.1007/s11214-010-9654-y. Nagovitsyn Yu.A. A nonlinear mathematical model for the solar cyclicity and prospects for reconstructing the solar activity in the past. The Astron. Lett. 1997, vol. 23, iss. 6, pp. 742-748. McLaughlin J.A., Nakariakov V.M., Dominique M., et al. Modelling quasi-periodic pulsations in solar and stellar flares // Space Sci. Rev. 2018. V. 214, id. 45, 54 p. DOI: 10.1007/ s11214-018-0478-5. Nakajima H., Sekiguchi H., Aiba S., Shiomi Y., Kuwabara T., Sawa M., et al. A new 17-GHz solar radio interferometer at Nobeyama. Publ. Astron. Soc. Japan. 1980, vol. 32, pp. 639-650. Mészárosová H., Karlický M., Rybák, J., Jiřička K. Tadpoles in wavelet spectra of a solar decimetric radio burst // The Astrophys. J. Lett. 2009. V. 697, iss. 2. P. L108-L110. DOI: 10.1088/0004-637X/697/2/L108. Nakajima H., Kosugi T., Kai K., Enome S. Successive electron and ion accelerations in impulsive solar flares on 7 and 21 June 1980. Nature. 1983, vol. 305, pp. 292-294, DOI: 10.1038/305292a0. Murray M.J., van Driel-Gesztelyi L., Baker D. Simulations of emerging flux in a coronal hole: oscillatory reconnection // Astron. Astrophys. 2009. V. 494, iss. 1. P. 329-337. DOI: 10.1051/0004-6361:200810406. Nakajima H., Sekiguchi H., Sawa M., Kai K., Kawashima S. The radiometer and polarimeters at 80, 35, and 17 GHz for solar observations at Nobeyama. Publ. Astron. Soc. Japan. 1985, vol. 37, pp. 163-170. Nagovitsyn Yu.A. A nonlinear mathematical model for the solar cyclicity and prospects for reconstructing the solar activity in the past // Astron. Lett. 1997. V. 23, iss. 6. P. 742-748. Nakariakov V.M., Melnikov V.F. Quasi-periodic pulsations in solar flares. Space Sci. Rev. 2009, vol. 149, iss. 1-4, pp. 119-151. DOI: 10.1007/s11214-009-9536-3. Nakajima H., Sekiguchi H., Aiba S., Shiomi Y., Kuwabara T., Sawa M., et al. A new 17-GHz solar radio interferometer at Nobeyama // Publ. Astron. Soc. Japan. 1980. V. 32. P. 639-650. Nakariakov V.M., Zimovets I.V. Slow magnetoacoustic waves in two-ribbon flares. The Astrophys. J. Lett. 2011, vol. 730, iss. 2, id. L27, 4 p. DOI: 10.1088/2041-8205/730/2/L27. Nakajima H., Kosugi T., Kai K., Enome S. Successive electron and ion accelerations in impulsive solar flares on 7 and 21 June 1980 // Nature. 1983. V. 305. P. 292-294. DOI: 10.1038/305292a0. Nakariakov V.M., Foullon C., Verwichte E., Young N.P. Quasi-periodic modulation of solar and stellar flaring emission by magnetohydrodynamic oscillations in a nearby loop. Astron. and Astrophys. 2006, vol. 452, iss. 1, pp. 343-346. DOI: 10.1051/0004-6361:20054608. Nakajima H., Sekiguchi H., Sawa M., Kai K., Kawashima S. The radiometer and polarimeters at 80, 35, and 17 GHz for solar observations at Nobeyama // Publ. of the Astron. Soc. of Japan. 1985. V. 37. P. 163-170. Nakariakov V.M., Foullon C., Myagkova I.N., Inglis A.R. Quasi-periodic pulsations in the gamma-ray emission of a solar flare. The Astrophys. J. Lett. 2010a, vol. 708, L47-L51. DOI: 10.1088/2041-8205/708/1/L47. Nakariakov V.M., Melnikov V.F. Quasi-periodic pulsations in solar flares // Space Sci. Rev. 2009. V. 149, iss. 1-4. P. 119-151. DOI: 10.1007/s11214-009-9536-3. Nakariakov V.M., Inglis A.R., Zimovets I.V., Foullon C., Verwichte E., Sych R., et al. Oscillatory processes in solar flares. Plasma Phys. and Controlled Fusion. 2010b, vol. 52, iss. 12, id. 124009. DOI: 10.1088/0741-3335/52/12/124009. Nakariakov V.M., Zimovets I.V. Slow magnetoacoustic waves in two-ribbon flares // The Astrophys. J. Lett. 2011. V. 730, iss. 2, id. L27. 4 p. DOI: 10.1088/2041-8205/730/2/L27. Nakariakov V.M., Hornsey C., Melnikov V.F. Sausage oscillations of coronal plasma structures. The Astrophys. J. 2012, vol. 761, iss. 2, id. 134, 6 p. DOI: 10.1088/0004-637X/761/2/134. Nakariakov V.M., Foullon C., Verwichte E., Young N.P. Quasi-periodic modulation of solar and stellar flaring emission by magnetohydrodynamic oscillations in a nearby loop // Astron. Astrophys. 2006. V. 452, iss. 1. P. 343-346. DOI: 10.1051/0004-6361:20054608. Nakariakov V.M., Pilipenko V., Heilig B., Jelínek P., Karlický M., Klimushkin D.Y., et al. Magnetohydrodynamic oscillations in the solar corona and Earth's magnetosphere: Towards consolidated understanding. Space Sci. Rev. 2016, vol. 200, pp. 75-203. DOI: 10.1007/s11214-015-0233-0. Nakariakov V.M., Foullon C., Myagkova I.N., Inglis A.R. Quasi-periodic pulsations in the gamma-ray emission of a solar flare // The Astrophys. J. Lett. 2010a. V. 708. L47-L51. DOI: 10.1088/2041-8205/708/1/L47. Nakariakov V.M., Kolotkov D.Y., Kupriyanova E.G., Mehta T., Pugh C.E., Lee D.-H., et al. Non-stationary quasi-periodic pulsations in solar and stellar flares. Plasma Phys. and Controlled Fusion 2019, vol. 61, id. 014024. DOI: 10.1088/1361-6587/aad97c. Nakariakov V.M., Inglis A.R., Zimovets I.V., et al. Oscillatory processes in solar flares // Plasma Phys. and Controlled Fusion. 2010b. V. 52, iss. 12, id. 124009. DOI: 10.1088/0741-3335/52/12/124009. Neupert W.M. Comparison of solar X-ray line emission with microwave emission during flares. The Astrophys. J. 1968, vol. 153, p. L59. DOI: 10.1086/180220. Nakariakov V.M., Hornsey C., Melnikov V.F. Sausage oscillations of coronal plasma structures // The Astrophys. J. 2012. V. 761, iss. 2, id. 134. 6 p. DOI: 10.1088/0004-637X/761/2/134. Pascoe D.J., Russell A.J.B., Anfinogentov S.A., Simões P.J.A., Goddard C.R., Nakariakov V.M., et al. Seismology of contracting and expanding coronal loops using damping of kink oscillations by mode coupling. Astron. and Astrophys. 2017, vol. 607, id. A8, 9 p. DOI: 10.1051/0004-6361/201730915. Nakariakov V.M., Pilipenko V., Heilig B., et al. Magnetohydrodynamic oscillations in the solar corona and Earth's magnetosphere: Towards consolidated understanding // Space Sci. Rev. 2016. V. 200. P. 75-203. DOI: 10.1007/s11214-015-0233-0. Penn M., Krucker S., Hudson H., Jhabvala M., Jennings D., Lunsford A., et al. Spectral and imaging observations of a white-light solar flare in the mid-infrared. The Astrophys. J. Lett. 2016, vol. 819, iss. 2, id. L30, 5 p. DOI: 10.3847/2041-8205/819/2/L30. Nakariakov V.M., Kolotkov D.Y., Kupriyanova E.G., et al. Non-stationary quasi-periodic pulsations in solar and stellar flares // Plasma Phys. and Controlled Fusion. 2019. V. 61, id. 014024. DOI: 10.1088/1361-6587/aad97c. Pugh C.E., Nakariakov V.M., Broomhall A.-M. A multi-period oscillation in a stellar superflare. The Astrophys. J. Lett. 2015, vol. 813, iss. 1, id. L5, 5 p. DOI: 10.1088/2041-8205/813/1/L5. Neupert W.M. Comparison of Solar X-Ray line emission with microwave emission during flares // The Astrophys. J. 1968. V. 153. P. L59. DOI: 10.1086/180220. Pugh C.E., Broomhall A.-M., Nakariakov V.M. Significance testing for quasi-periodic pulsations in solar and stellar flares. Astron. and Astrophys. 2017a, vol. 602, id. A47, 8 p., DOI: 10.1051/0004-6361/201730595. Pascoe D.J., Russell A.J.B., Anfinogentov S.A., et al. Seismology of contracting and expanding coronal loops using damping of kink oscillations by mode coupling // Astron. Astrophys. 2017. V. 607, id. A8. 9 p. DOI: 10.1051/0004-6361/201730915. Pugh C.E., Nakariakov V.M., Broomhall A.-M., Bogomolov A.V., Myagkova I.N. Properties of quasi-periodic pulsations in solar flares from a single active region. Astron. and Astrophys. 2017b, vol. 608, id. A101, 23 p. DOI: 10.1051/0004-6361/201731636. Penn M., Krucker S., Hudson H., et al. Spectral and imaging observations of a white-light solar flare in the mid-infrared // The Astrophys. J. Lett. 2016. V. 819, iss. 2, Id. L30. 5 p. DOI: 10.3847/2041-8205/819/2/L30. Reva A., Shestov S., Zimovets I., Bogachev S., Kuzin S. Wave-like formation of hot loop arcades. Solar Phys. 2015, vol. 290, iss. 10, pp. 2909-2921. DOI: 10.1007/s11207-015-0769-x. Pugh C.E., Nakariakov V.M., Broomhall A.-M.A Multi-period oscillation in a stellar superflare // The Astrophys. J. Lett. 2015. V. 813, iss. 1, id. L5. 5 p. DOI: 10.1088/2041-8205/813/1/L5. Reznikova V.E., Shibasaki K. Flare quasi-periodic pulsations with growing periodicity // Astron. Astrophys. 2011, vol. 525, id. A112, 7 p. DOI: 10.1051/0004-6361/201015600 Pugh C.E., Broomhall A.-M., Nakariakov V.M. Significance testing for quasi-periodic pulsations in solar and stellar flares // Astron. Astrophys. 2017a. V. 602, id. A47. 8 p. DOI: 10.1051/0004-6361/201730595. Reznikova V.E., Nakariakov V.M., Melnikov V.F., Shibasaki K. Diagnostics of MHD-oscillation modes of a flaring loop using microwave observations with high spatial resolution. Proceedings of the 11th European Solar Physics Meeting "The Dynamic Sun: Challenges for Theory and Observations" (ESA SP-600). 11-16 September 2005, Leuven, Belgium. 2005. id. 140.1, 4 p. Pugh C.E., Nakariakov V.M., Broomhall A.-M., et al. Properties of quasi-periodic pulsations in solar flares from a single active region // Astron. Astrophys. 2017b. V. 608, id. A101. 23 p. DOI: 10.1051/0004-6361/201731636. Ryutov D.A., Ryutova M.P. Sound oscillations in a plasma with "magnetic filaments". J. Exper. and Theor. Phys. 1976, vol. 43, p. 491-497. Ryutov D.A., Ryutova M.P. Sound oscillations in a plasma with «magnetic filaments» // J. Exper. and Theor. Phys. 1976. V. 43. P. 491-497. Saint-Hilaire P., Benz A.O., Monstein C. Short-duration radio bursts with apparent extragalactic dispersion. The Astrophys. J. 2014, vol. 795, iss. 1, id. 19, 6 p. DOI: 10.1088/0004-637X/795/1/19. Reva A., Shestov S., Zimovets I., et al. Wave-like formation of hot loop arcades // Solar Phys. 2015. V. 290, iss. 10. P. 2909-2921. DOI: 10.1007/s11207-015-0769-x. Sakai J.I., Nagasugi Y., Saito S., Kaufmann P. Simulating the emission of electromagnetic waves in the terahertz range by relativistic electron beams. Astron. and Astrophys. 2006, vol. 457, pp. 313-318. DOI: 10.1051/0004-6361:20065368. Reznikova V.E., Shibasaki K. Flare quasi-periodic pulsations with growing periodicity // Astron. Astrophys. 2011. V. 525, id. A112. 7 p. DOI: 10.1051/0004-6361/201015600. Scherrer P.H., Schou J., Bush R.I., Kosovichev A.G., Bogart R.S., Hoeksema J.T., et al. The Helioseismic and Magnetic Imager (HMI) investigation for the Solar Dynamics Observatory (SDO). Solar Phys. 2012, vol. 275, iss. 1-2, pp. 207-227. DOI: 10.1007/s11207-011-9834-2. Reznikova V.E., Nakariakov V.M., Melnikov V.F., Shibasaki K. Diagnostics of MHD-oscillation modes of a flaring loop using microwave observations with high spatial resolution // Proc. 11th European Solar Physics Meeting “The Dynamic Sun: Challenges for Theory and Observations” (ESA SP-600). 11-16 September 2005, Leuven, Belgium. CDROM. id. 140.1. 4 p. Shibasaki K. High-Beta disruption in the solar atmosphere. The Astrophys. J. 2001, vol. 557, pp. 326-331. DOI: 10.1086/321651. Saint-Hilaire P., Benz A.O., Monstein C. Short-duration radio bursts with apparent extragalactic dispersion // The Astrophys. J. 2014. V. 795, iss. 1, id. 19. 6 p. DOI: 10.1088/ 0004-637X/795/1/19. Shibayama T., Maehara H., Notsu S., Notsu Y., Nagao T., Honda S., et al. Superflares on solar-type stars observed with Kepler. I. Statistical properties of superflares. The Astrophys. J. Suppl. 2013, vol. 209, iss. 1, id. 5, 13 p. DOI: 10.1088/0067-0049/209/1/5. Sakai J.I., Nagasugi Y., Saito S., Kaufmann P. Simulating the emission of electromagnetic waves in the terahertz range by relativistic electron beams // Astron. Astrophys. 2006. V. 457. P. 313-318. DOI: 10.1051/0004-6361:20065368 Silva A.V.R., Share G.H., Murphy R.J., Costa J.E.R., de Castro C.G.G., Raulin J.-P., et al. Evidence that synchrotron emission from nonthermal electrons produces the increasing submillimeter spectral component in solar flares. Solar Phys. 2007, vol. 245, pp. 311-326. DOI: 10.1007/s11207-007-9044-0. Scherrer P.H., Schou J. Bush R.I., et al. The Helioseismic and Magnetic Imager (HMI) investigation for the Solar Dynamics Observatory (SDO) // Solar Phys. 2012. V. 275, iss. 1-2. P. 207-227. DOI: 10.1007/s11207-011-9834-2. Simões P.J.A., Hudson H.S., Fletcher L. Soft X-ray pulsations in solar flares. Solar Phys. 2015, vol. 290, iss. 12, pp. 3625-3639. DOI: 10.1007/s11207-015-0691-2. Shibasaki K. High-Beta Disruption in the Solar Atmosphere // The Astrophys. J. 2001. V. 557. P. 326-331. DOI: 10.1086/321651. Somov B. V. Magnetic reconnection in solar flares. Uspekhi fizicheskikh nauk [Advances in Physical Sciences. Physics-Uspekhi]. 2010, vol. 180, pp. 997-1000. (In Russian). Shibayama T., Maehara H., Notsu S., et al. Superflares on solar-type stars observed with Kepler. I. Statistical properties of superflares // The Astrophys. J. Suppl. Ser. 2013. V. 209. iss. 1, id. 5. 13 p. DOI: 10.1088/0067-0049/209/1/5. Stepanov A.V., Kopylova Yu.G., Tsap Yu.T., Kupriyanova E.G. Oscillations of optical emission from flare stars and coronal loop diagnostics. Astron. Lett. 2005, vol. 31, iss. 9, pp. 612-619, DOI: 10.1134/1.2039972. Silva A.V.R., Share G.H., Murphy R.J., et al. Evidence that synchrotron emission from nonthermal electrons produces the increasing submillimeter spectral component in solar flares // Solar Phys. 2007. V. 245. P. 311-326. DOI: 10.1007/s11207-007-9044-0. Su J.T., Shen Y.D., Liu Y. Extreme-ultraviolet multi-wavelength observations of quasi-periodic pulsations in a solar post-flare cusp-shape loop with SDO/AIA. The Astrophys. J. 2012, vol. 754, iss. 1, id. 43, 8 p., DOI: 10.1088/0004-637X/754/1/43. Simões P.J.A., Hudson H.S., Fletcher L. Soft X-ray pulsations in solar flares // Solar Phys. 2015. V. 290, iss. 12. P. 3625-3639. DOI: 10.1007/s11207-015-0691-2. Švestka Z. Optical observations of solar flares. Space Sci. Rev. 1966, vol. 5, iss. 3, pp. 388-418. DOI: 10.1007/BF02653250. Stepanov A.V., Kopylova Yu.G., Tsap Yu.T., Kupriyanova E.G. Oscillations of optical emission from flare stars and coronal loop diagnostics // Astronomy Lett. 2005. V. 31, iss. 9. P. 612-619. DOI: 10.1134/1.2039972. Tajima T., Sakai J., Nakajima H., Kosugi T., Brunel F., Kundu M.R. Current loop coalescence model of solar flares. The Astrophys. J. 1987, vol. 321, pp. 1031-1048. DOI: 10.1086/165694. Su J.T., Shen Y.D., Liu Y. Extreme-ultraviolet multi-wavelength observations of quasi-periodic pulsations in a solar post-flare cusp-shape loop with SDO/AIA // The Astrophys. J. 2012. V. 754, iss. 1, id. 43. 8 p. DOI: 10.1088/0004-637X/754/1/43. Takasao S, Shibata K. Above-the-loop-top oscillation and quasi-periodic coronal wave generation in solar flares. The Astrophys. J. 2016, vol. 823, iss. 2, id. 150, 11 p. DOI: 10.3847/0004-637X/823/2/150. Švestka Z. Optical observations of solar flares // Space Sci. Rev. 1966. V. 5, iss. 3. P. 388-418. DOI: 10.1007/BF02653250. Tan B., Yu Z., Huang J., Tan C., Zhang Y. Very long-period pulsations before the onset of solar flares. The Astrophys. J. 2016, vol. 833, iss. 2, id. 206, 6 p. DOI: 10.3847/1538-4357/833/2/206. Tajima T., Sakai J., Nakajima H., et al. Current loop coalescence model of solar flares // The Astrophys. J. 1987. V. 321. P. 1031-1048. DOI: 10.1086/165694. Tapping K.F. A torsional wave model for solar radio pulsations. Solar Phys. 1983, vol. 87, iss. 1, pp.177-186. DOI: 10.1007/BF00151168. Takasao S., Shibata K. Above-the-loop-top oscillation and quasi-periodic coronal wave generation in solar flares // The Astrophys. J. 2016. V. 823, iss. 2, id. 150. 11 p. DOI: 10.3847/0004-637X/823/2/150. Thurgood J.O., Pontin D.I., McLaughlin J.A. On the periodicity of linear and nonlinear oscillatory reconnection. Astron. and Astrophys. 2019, vol. 621, id. A106, 12 p. DOI: 10.1051/0004-6361/201834369. Tan B., Yu Z., Huang J., et al. Very long-period pulsations before the onset of solar flares // The Astrophys. J. 2016. V. 833, iss. 2, id. 206. 6 p. DOI: 10.3847/1538-4357/833/2/206. Torrence C., Compo G.P. A practical guide to wavelet analysis. Bull. Amer. Meteor. Soc. 1998, vol. 79, pp. 61-78. DOI: 10.1175/1520-0477(1998)079<0061:APGTWA>2.0.CO;2. Tapping K.F. A torsional wave model for solar radio pulsations // Solar Phys. 1983. V. 87, iss. 1. P. 177-186. DOI: 10.1007/BF00151168. Trottet G., Raulin J.-P., MacKinnon A., Giménez de Castro G., Simões P.J.A., Cabezas D., et al. Origin of the 30 THz emission detected during the solar flare on 2012 March 13 at 17:20 UT. Solar Phys. 2015, vol. 290, iss. 10, pp. 2809-2826. DOI: 10.1007/s11207-015-0782-0. Thurgood J.O. Pontin D.I., McLaughlin J.A. On the periodicity of linear and nonlinear oscillatory reconnection // Astron. Astrophys. 2019. V. 621, id. A106. 12 p. DOI: 10.1051/0004-6361/201834369. Tsap Yu. T., Stepanov A.V., Kopylova Yu.G., Zhilyaev B.E. Diagnostics of a flare on EQ Peg B from optical pulsations. Astron. Lett. 2011, vol. 37, iss. 1, pp. 49-54. DOI: 10.1134/S1063773710101032. Torrence C., Compo G.P. A practical guide to wavelet analysis // Bull. Amer. Meteorol. Soc. 1998. V. 79. P. 61-78. DOI: 10.1175/1520-0477(1998)079<0061:APGTWA>2.0.CO;2. Tsap Y.T., Smirnova V.V., Motorina G.G., Morgachev A.S., Kuznetsov S.A., Nagnibeda V.G., et al. Millimeter and X-ray emission from the 5 July 2012 solar flare. Solar Phys. 2018, vol. 293, 15 p. DOI: 10.1007/s11207-018-1269-6. Trottet G., Raulin J.-P., Mackinnon A., et al. Origin of the 30 THz emission detected during the solar flare on 2012 March 13 at 17:20 UT // Solar Phys. 2015. V. 290, iss. 10. P. 2809-2826. DOI: 10.1007/s11207-015-0782-0. Van Doorsselaere T., Nakariakov V.M., Verwichte E. Detection of waves in the solar corona: kink or Alfvén? The Astrophys. J. Lett. 2008, vol. 676, pp. L73-L75. DOI: 10.1086/587029. Tsap Y.T., Smirnova V.V., Motorina G.G., et al. Millimeter and X-ray emission from the 5 July 2012 solar flare // Solar Phys. 2018. V. 293. P. 15. DOI: 10.1007/s11207-018-1269-6. Van Doorsselaere T., De Groof A., Zender J., Berghmans D., Goossens M. LYRA observations of two oscillation modes in a single flare. The Astrophys. J. 2011, vol. 740, id. 90, 8 p. DOI: 10.1088/0004-637X/740/2/90. Tsap Yu.T., Stepanov A.V., Kopylova Yu.G., Zhilyaev B.E. Diagnostics of a flare on EQ Peg B from optical pulsations // Astron. Lett. 2011. V. 37, iss. 1. P. 49-54. DOI: 10.1134/S1063773710101032. Van Doorsselaere T., Kupriyanova E.G., Yuan D. Quasi-periodic pulsations in solar and stellar flares: an overview of recent results (Invited Review). Solar Phys. 2016, vol. 291, iss. 11, pp. 3143-3164. DOI: 10.1007/s11207-016-0977-z. Van Doorsselaere T., Nakariakov V.M., Verwichte E. Detection of waves in the solar corona: kink or Alfvén? // The Astrophys. J. Lett. 2008. V. 676. P. L73-L75. DOI: 10.1086/587029. Vaughan S. A simple test for periodic signals in red noise. Astron. and Astrophys. 2005, vol. 431, pp. 391-403. DOI: 10.1051/0004-6361:20041453. Van Doorsselaere T., De Groof A., Zender J., et al. LYRA observations of two oscillation modes in a single flare // The Astrophys. J. 2011. V. 740, id. 90. 8 p. DOI: 10.1088/0004-637X/740/2/90. Wang T., Innes D.E., Qiu J. Determination of the coronal magnetic field from hot-loop oscillations observed by SUMER and SXT. Astrophys. J. 2007, vol. 656, iss. 1, pp. 598-609. DOI: 10.1086/510424. Van Doorsselaere T., Kupriyanova E.G., Yuan D. Quasi-periodic pulsations in solar and stellar flares: an overview of recent results (Invited Rev.) // Solar Phys. 2016. V. 291, iss. 11. P. 3143-3164. DOI: 10.1007/s11207-016-0977-z. Wedemeyer S., Bastian T., Brajša R., Hudson H., Fleishman G., Loukitcheva M., et al. Solar science with the Atacama Large Millimeter/Submillimeter Array - a new view of our Sun. Space Sci. Rev. 2016, vol. 200, iss. 1-4, pp. 1-73. DOI: 10.1007/s11214-015-0229-9. Vaughan S. A simple test for periodic signals in red noise // Astron. Astrophys. 2005. V. 431. P. 391-403. DOI: 10.1051/ 0004-6361:20041453. Xu Y., Cao W., Liu C., Yang G., Qiu J., Jing J., et al. Near-infrared observations at 1.56 microns of the 2003 October 29 X10 white-light flare. The Astrophys. J. 2004, vol. 607, iss. 2, pp. L131-L134. DOI: 10.1086/422099. Wang T., Innes D.E., Qiu J. Determination of the coronal magnetic field from hot-loop oscillations observed by SUMER and SXT // The Astrophys. J. 2007. V. 656, iss. 1. P. 598-609. DOI: 10.1086/510424. Zaitsev V.V., Stepanov A.V. To the nature of the pulsations of the solar type IV radio bursts. Issledovaniya po geomagnetizmu, aeronomii i fizike Solntsa [Research on geomagnetism, aeronomy and solar physics]. 1975, no. 37, p. 3. (In Russian). Wedemeyer S., Bastian T., Brajša R., et al. Solar science with the Atacama Large Millimeter/Submillimeter Array - a new view of our Sun // Space Sci. Rev. 2016. V. 200, iss. 1-4. P. 1-73. DOI: 10.1007/s11214-015-0229-9. Zaitsev V.V., Stepanov A.V. On the origin of solar hard X-ray pulsations. Soviet Astronomy Letters. 1982, vol. 8, p. 132. Xu Y., Cao W., Liu C., et al. Near-infrared observations at 1.56 microns of the 2003 October 29 X10 white-light flare // The Astrophys. J. 2004. V. 607, iss. 2. P. L131-L134. DOI: 10.1086/422099. Zaitsev V.V., Stepanov A.V. Coronal magnetic loops. Uspekhi fizicheskikh nauk [Advances in Physical Sciences. Physics-Uspekhi]. 2008, vol. 51, no. 11, pp. 1123-1160. DOI: 10.1070/PU2008v051n11ABEH006657. (In Russian). Zaitsev V.V., Kronshtadtov P.V., Stepanov A.V. Rayleigh-Taylor instability and excitation of super-Dreicer electric fields in the solar chromosphere // Solar Phys. 2016. V. 291. P. 3451-3459. DOI: 10.1007/s11207-016-0983-1. Zaitsev V.V., Stepanov A.V., Kaufmann P. On the origin of pulsations of sub-THz emission from solar flares. Solar Phys. 2014, vol. 289, pp. 3017-3032. DOI: 10.1007/s11207-014-0515-9. Zaitsev V.V., Stepanov A.V., Kaufmann P. On the origin of pulsations of sub-THz emission from solar flares // Solar Phys. 2014. V. 289. P. 3017-3032. DOI: 10.1007/s11207-014-0515-9. Zaitsev V.V., Kronshtadtov P.V., Stepanov A.V. Rayleigh-Taylor instability and excitation of super-Dreicer electric fields in the solar chromosphere. Solar Phys. 2016, vol. 291, pp. 3451-3459. DOI: 10.1007/s11207-016-0983-1. Zhdanov D.A., Zandanov V.G. Observations of microwave fine structures by the Badary Broadband Microwave Spectropolarimeter and the Siberian Solar Radio Telescope // Solar Phys. 2015. V. 290, iss. 1. P. 287-294. DOI: 10.1007/s11207-014-0553-3. Zhdanov D.A., Zandanov V.G. Observations of microwave fine structures by the Badary Broadband Microwave Spectropolarimeter and the Siberian Solar Radio Telescope. Solar Phys. 2015, vol. 290, iss. 1, pp. 287-294. DOI: 10.1007/s11207-014-0553-3. URL: https://legacy.helioviewer.org/ (дата обращения 11 ноября 2019 г.). URL: https://legacy.helioviewer.org/ (accessed November 11, 2019). URL: http://sdc.uio.no/sdc/ (дата обращения 11 ноября 2019 г.). URL: http://sdc.uio.no/sdc/ (accessed November 11, 2019). URL: http://solar.nro.nao.ac.jp/norh/doc/manuale.pdf (дата обращения 11 ноября 2019 г.). URL: http://solar.nro.nao.ac.jp/norh/doc/manuale.pdf (accessed November 11, 2019).