The Resource Chaotic Dynamics in Nonlinear Theory, by Lakshmi Burra, (electronic resource)

Chaotic Dynamics in Nonlinear Theory, by Lakshmi Burra, (electronic resource)

Label
Chaotic Dynamics in Nonlinear Theory
Title
Chaotic Dynamics in Nonlinear Theory
Statement of responsibility
by Lakshmi Burra
Creator
Contributor
Author
Provider
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
http://library.link/vocab/creatorName
Burra, Lakshmi
Image bit depth
0
LC call number
QA313
Literary form
non fiction
http://library.link/vocab/relatedWorkOrContributorName
SpringerLink
http://library.link/vocab/subjectName
  • Mathematics
  • Differentiable dynamical systems
  • Differential equations, partial
  • Mathematics
  • Dynamical Systems and Ergodic Theory
  • Partial Differential Equations
  • Nonlinear Dynamics
Label
Chaotic Dynamics in Nonlinear Theory, by Lakshmi Burra, (electronic resource)
Instantiates
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
not applicable
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
Dimensions
unknown
Extent
XIX, 104 p. 48 illus., 32 illus. in color.
File format
multiple file formats
Form of item
electronic
Isbn
9788132220923
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-81-322-2092-3
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-81-322-2092-3
Label
Chaotic Dynamics in Nonlinear Theory, by Lakshmi Burra, (electronic resource)
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
not applicable
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
Dimensions
unknown
Extent
XIX, 104 p. 48 illus., 32 illus. in color.
File format
multiple file formats
Form of item
electronic
Isbn
9788132220923
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-81-322-2092-3
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-81-322-2092-3

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