Coverart for item
The Resource Chaotic dynamics in nonlinear theory, Lakshmi Burra

Chaotic dynamics in nonlinear theory, Lakshmi Burra

Label
Chaotic dynamics in nonlinear theory
Title
Chaotic dynamics in nonlinear theory
Statement of responsibility
Lakshmi Burra
Creator
Author
Subject
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
http://library.link/vocab/creatorName
Burra, Lakshmi
Dewey number
515/.355
Index
index present
LC call number
QA427
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
http://library.link/vocab/subjectName
  • Nonlinear theories
  • MATHEMATICS
  • MATHEMATICS
  • Nonlinear theories
Label
Chaotic dynamics in nonlinear theory, Lakshmi Burra
Instantiates
Publication
Copyright
Antecedent source
unknown
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
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
Control code
890793182
Dimensions
unknown
Extent
1 online resource
File format
unknown
Form of item
online
Isbn
9788132220916
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-81-322-2092-3
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
(OCoLC)890793182
Label
Chaotic dynamics in nonlinear theory, Lakshmi Burra
Publication
Copyright
Antecedent source
unknown
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
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
Control code
890793182
Dimensions
unknown
Extent
1 online resource
File format
unknown
Form of item
online
Isbn
9788132220916
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-81-322-2092-3
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
(OCoLC)890793182

Library Locations

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      38.944491 -92.326012
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