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Chaotic Dynamics In Nonlinear Theory

About The . 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. 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. 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.

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This usually requires some assumptions about the map, such as a diffeomorphism and some hyperbolicity conditions.

In Nonlinear Chaotic Theory 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.

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.

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.

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

Books > Mathematics

Chaotic Dynamics In Nonlinear Theory

Books > Mathematics

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Chaotic Dynamics In Nonlinear Theory
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