Chaotic dynamics in nonlinear theory

Resource Information

The work Chaotic dynamics in nonlinear theory represents a distinct intellectual or artistic creation found in University of Missouri Libraries. This resource is a combination of several types including: Work, Language Material, Books.

Label

Chaotic dynamics in nonlinear theory

Statement of responsibility

Lakshmi Burra

Creator

• Burra, Lakshmi

Author

• Burra, Lakshmi

Subject

• Nonlinear theories
• MATHEMATICS -- Calculus
• Nonlinear theories
• Nonlinear theories
• MATHEMATICS -- Mathematical Analysis

Language

eng

Summary

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

Cataloging source

N$T

Dewey number

515/.355

Index

index present

LC call number

QA427

Literary form

non fiction

Nature of contents

• dictionaries
• bibliography