New Methods for Chaotic Dynamics 在線電子書 圖書標籤:
發表於2024-11-29
New Methods for Chaotic Dynamics 在線電子書 pdf 下載 txt下載 epub 下載 mobi 下載 2024
This book presents a new theory on the transition to dynamical chaos for two-dimensional nonautonomous, and three-dimensional, many-dimensional and infinitely-dimensional autonomous nonlinear dissipative systems of differential equations including nonlinear partial differential equations and differential equations with delay arguments. The transition is described from the Feigenbaum cascade of period doubting bifurcations of the original singular cycle to the complete or incomplete Sharkovskii subharmonic cascade of bifurcations of stable limit cycles with arbitrary period and finally to the complete or incomplete homoclinic cascade of bifurcations. The book presents a distinct view point on the principles of formation, scenarios of occurrence and ways of control of chaotic motion in nonlinear dissipative dynamical systems. All theoretical results and conclusions of the theory are strictly proved and confirmed by numerous examples, illustrations and numerical calculations.
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New Methods for Chaotic Dynamics 在線電子書 pdf 下載 txt下載 epub 下載 mobi 下載 2024