NDLI: Bifurcation approach to analysis of chaotic dynamics in Hamiltonian and conservative systems

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2012 IEEE 4th International Conference on Nonlinear Science and Complexity (NSC)

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Bifurcation approach to analysis of chaotic dynamics in Hamiltonian and conservative systems

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Bifurcation approach to analysis of chaotic dynamics in Hamiltonian and conservative systems

Content Provider	IEEE Xplore Digital Library
Author	Magnitskii, N.A.
Copyright Year	2012
Description	Author affiliation: Institute for Systems Analysis of RAS/Moscow, Russia (Magnitskii, N.A.)
Abstract	It is proved in the paper and illustrated with analytical and numerical examples that universal bifurcation Feigenbaum-Sharkovskii-Magnitskii mechanism of transition to dynamical chaos in all kinds of dissipative nonlinear systems of differential equations including ordinary and partial, autonomous and non-autonomous differential equations and differential equations with delay arguments takes place also in conservative and Hamiltonian systems.
Starting Page	81
Ending Page	86
File Size	329274
Page Count	6
File Format	PDF
ISBN	9781467327022
e-ISBN	9781467327039
e-ISBN	9781467327015
DOI	10.1109/NSC.2012.6304730
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2012-08-06
Publisher Place	Hungary
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Chaos Manifolds Differential equations Bifurcation Trajectory Nonlinear dynamical systems
Content Type	Text
Resource Type	Article

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