Chaotic dynamics in nonlinear theory / Lakshmi Burra.
Burra, Lakshmi, author.
2014
QA427
Available Online

Linked e-resources

Linked Resource Online Access
Concurrent users Unlimited
Authorized users Authorized users
Document Delivery Supplied Can lend chapters, not whole ebooks

Details

Title Chaotic dynamics in nonlinear theory / Lakshmi Burra.
Author Burra, Lakshmi, author.
ISBN 9788132220923 (electronic book)
8132220927 (electronic book)
9788132220916
DOI https://doi.org/10.1007/978-81-322-2092-3
Published New Delhi : Springer, [2014]
Copyright ©2014
Language English
Description 1 online resource.
Item Number 10.1007/978-81-322-2092-3 doi
Call Number QA427
Dewey Decimal Classification 515/.355
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.
Bibliography, etc. Note Includes bibliographical references and index.
Access Note Access limited to authorized users.
Source of Description Online resource; title from PDF title page (viewed September 18, 2014).
Available in Other Form Print version: 9788132220916
Linked Resources Online Access
Record Appears in Online Resources > Ebooks
All Resources
Chapter 1. Topological Considerations
Chapter 2. Topological horseshoes and coin-tossing dynamics
Chapter 3. Chaotic Dynamics in the vertically driven planar pendulum
Chapter 4. Chaos in a pendulum with variable length.

Browse Subjects

Show more subjects...

Statistics

from
to
Export