Chaotic Dynamics in Nonlinear Theory (Paperback, Softcover reprint of the original 1st ed. 2014)

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.

General

Imprint:	Springer, India, Private Ltd
Country of origin:	India
Release date:	August 2016
First published:	2014
Authors:	Lakshmi Burra
Dimensions:	235 x 155 x 7mm (L x W x T)
Format:	Paperback
Pages:	104
Edition:	Softcover reprint of the original 1st ed. 2014
ISBN-13:	978-81-322-3543-9
Categories:	Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Differential equations Books > Science & Mathematics > Mathematics > Applied mathematics > Non-linear science Promotions
LSN:	81-322-3543-6
Barcode:	9788132235439

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