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 stru...

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Bibliographische Detailangaben

1. Verfasser:	Burra, Lakshmi (VerfasserIn)
Format:	Buch
Sprache:	English
Veröffentlicht:	New Delhi Springer India 2014
Schlagworte:	Chaotic behavior in systems > Congresses Differentiable dynamical systems > Congresses Dynamics > Congresses Konferenzschrift
Zusammenfassung:	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
Beschreibung:	Description based on publisher supplied metadata and other sources
Beschreibung:	XIX, 104 Seiten Illustrationen
ISBN:	9788132220923 9788132220916