Chaotic Dynamics in Nonlinear Theory

Achat E-Book : Chaotic Dynamics in Nonlinear Theory - Lakshmi Burra
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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Chaotic Dynamics in Nonlinear Theory

Chaotic Dynamics in Nonlinear Theory

Lakshmi Burra

Caractéristiques du produit :
E-Book
Référence : 9788132220923
Sortie le : 10/09/2014
Editeur : SPRINGER
Format : EPUB
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- Lakshmi Burra
Achat E-Book : Chaotic Dynamics in Nonlinear Theory - Lakshmi Burra

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Chaotic Dynamics in Nonlinear Theory