Name: New Methods for Chaotic Dynamics
Price: 6878.00 TWD
Availability: InStock
Author: Sidorov, Sergey Vasilevich ; Magnitskii, Nikolai Alexandrovich
ISBN: 9789812568175

portada New Methods for Chaotic Dynamics

Type

Physical Book

Author

Sergey Vasilevich Sidorov

Nikolai Alexandrovich Magnitskii

Publisher

World Scientific Publishing Company

Year

2006

Language

English

Pages

384

Format

Hardcover

ISBN

9812568174

ISBN13

9789812568175

Synopsis "New Methods for Chaotic Dynamics"

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 doubling 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 - Sidorov, Sergey Vasilevich ; Magnitskii, Nikolai Alexandrovich

Synopsis "New Methods for Chaotic Dynamics"

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