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New Methods for Chaotic Dynamics 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024

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Sidorov, Sergey Vasilevich 作者

World Scientific Pub Co Inc

译者

出版日期

300 页数

$ 92.66 价格

HRD

丛书系列

9789812568175 图书编码

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发表于2024-12-27

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New Methods for Chaotic Dynamics 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

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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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