VISUALIZATION POINCARE SECTION IN NONLINEAR DYNAMICAL SYSTEMS
Authors:
Type:
Article
Pages:
from 156
to 159
Status:
Published
Received:
29.08.2014
Accepted:
09.10.2014
Published:
09.10.2014
Language:
Russian
Keywords:
nonlinear dynamics, chaos, phase space, strange attractor, Poincare section, computational methods, visualization
Abstract (English):
Provided a computer program designed for the construction and visualization of phase space and Poincare section nonlinear chaotic dynamical systems. Can be used as in the educational process as to explore arbitrary three-dimensional systems.
Provided a computer program designed for the construction and visualization of phase space and Poincare section nonlinear chaotic dynamical systems. Can be used as in the educational process as to explore arbitrary three-dimensional systems.
Keywords:
nonlinear dynamics, chaos, phase space, strange attractor, Poincare section, computational methods, visualization
nonlinear dynamics, chaos, phase space, strange attractor, Poincare section, computational methods, visualization
Открытие режима динамического хаоса в детерминированных системах Э. Лоренцем является важной вехой в изучении нелинейных систем обыкновенных дифференциальных уравнений (динамических систем). Это открытие было бы невозможным без использования численных методов компьютерной математики.
1. Morozov A.D. Vizualizatsiya i analiz invariantnykh mnozhestv dinamicheskikh sistem /A.D. Morozov, T.N. Dragunov. - M.-Izhevsk: Institut komp´yuternykh issledovaniy, 2003. - 304 s
