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Chaotic Dynamics in Nonlinear Theory

Name: Chaotic Dynamics in Nonlinear Theory
Brand: Springer, India, Private Ltd
SKU: 13793632
Price: 21734 HUF
Availability: InStock
Author: Lakshmi Burra
ISBN: 9788132235439

Lakshmi Burra

Language

English

Book Paperback

Libristo code: 13793632

Publishers Springer, India, Private Ltd, August 2016

Using phase-plane analysis, findings from the theory of topological horseshoes and linked-twist maps... Full description

Libristo code: 13793632

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Using phase-plane analysis, findings from the theory of topological horseshoes and linked-twist maps, this book presents a novel method to prove the existence of chaotic dynamics. In dynamical systems, complex behavior in a map can be indicated by showing the existence of a Smale-horseshoe-like structure, either for the map itself or its iterates. This usually requires some assumptions about the map, such as a diffeomorphism and some hyperbolicity conditions. In this text, less stringent definitions of a horseshoe have been suggested so as to reproduce some geometrical features typical of the Smale horseshoe, while leaving out the hyperbolicity conditions associated with it. This leads to the study of the so-called topological horseshoes. The presence of chaos-like dynamics in a vertically driven planar pendulum, a pendulum of variable length, and in other more general related equations is also proved.

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About the book

Full name Chaotic Dynamics in Nonlinear Theory

Author Lakshmi Burra

Language

English

Binding Book - Paperback

Date of issue 2016

Number of pages 104

EAN 9788132235439

ISBN 8132235436

Libristo code 13793632

Publishers Springer, India, Private Ltd

Weight 273

Dimensions 155 x 235 x 7

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