Chaotic Dynamics in Nonlinear Theory

Name: Chaotic Dynamics in Nonlinear Theory
Brand: Springer, India, Private Ltd
SKU: 9788132220916
Price: 1147 CZK
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Autor: Lakshmi Burra

Jazyk:

Vazba: Pevná

Vydavatel: Springer, India, Private Ltd

Dostupnost: Skladem u dodavatele

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

Informace o knize

Autor

Lakshmi Burra

Jazyk

Angličtina

Vazba

Kniha - Pevná

Vydáno

2014

Stránek

104

EAN

9788132220916

ISBN

8132220919

Enbook ID

05171573

Vydavatel

Springer, India, Private Ltd

Hmotnost

360

Rozměry

155 x 235 x 13

Kompletní popis

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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