Chaotic Dynamics in Nonlinear Theory

Produkt bewerten

Lakshmi Burra

Verlag:

Springer Verlag

Unsere-Artikel-Nr.: 3QE75D7

EAN: 9788132220916

Erhältlich:

Nicht auf Lager

Zustellung: Di, 21.07.2026

Versand: Kostenlos

-17.1 %

CHF 70.–

CHF 58.–

Beschreibung

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.

Spezifikationen

Sprache

Englisch

Autor

Lakshmi Burra

Zielgruppe

Research

Erscheinungsjahr

2014

Erscheinungsland

Indien

Format

Buch (Hardcover)

Anzahl Seiten