Chaotic Dynamics in Nonlinear Theory PDF
By:Lakshmi Burra
Published on 2014-09-10 by Springer

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.
This Book was ranked at 19 by Google Books for keyword Science Math Mathematics novel.
Book ID of Chaotic Dynamics in Nonlinear Theory's Books is erx_BAAAQBAJ, Book which was written byLakshmi Burrahave ETAG "g9IMV91Ivfs"
Book which was published by Springer since 2014-09-10 have ISBNs, ISBN 13 Code is 9788132220923 and ISBN 10 Code is 8132220927
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Book which have "104 Pages" is Printed at BOOK under CategoryMathematics
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