Coverart for item
The Resource Local and semi-local bifurcations in Hamiltonian dynamical systems : results and examples, Heinz Hanssmann

Local and semi-local bifurcations in Hamiltonian dynamical systems : results and examples, Heinz Hanssmann

Label
Local and semi-local bifurcations in Hamiltonian dynamical systems : results and examples
Title
Local and semi-local bifurcations in Hamiltonian dynamical systems
Title remainder
results and examples
Statement of responsibility
Heinz Hanssmann
Creator
Subject
Language
eng
Summary
Once again KAM theory is committed in the context of nearly integrable Hamiltonian systems. While elliptic and hyperbolic tori determine the distribution of maximal invariant tori, they themselves form n-parameter families. Hence, without the need for untypical conditions or external parameters, torus bifurcations of high co-dimension may be found in a single given Hamiltonian system. The text moves gradually from the integrable case, in which symmetries allow for reduction to bifurcating equilibria, to non-integrability, where smooth parametrisations have to be replaced by Cantor sets. Planar singularities and their versal unfoldings are an important ingredient that helps to explain the underlying dynamics in a transparent way
Member of
Action
digitized
Cataloging source
GW5XE
http://library.link/vocab/creatorName
Hanssmann, Heinz
Dewey number
515.39
Illustrations
illustrations
Index
index present
Language note
English
LC call number
QA614.83
LC item number
.H36 2007eb
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
Series statement
Lecture notes in mathematics,
Series volume
1893
http://library.link/vocab/subjectName
  • Hamiltonian systems
  • Bifurcation theory
  • Systèmes hamiltoniens
  • Théorie de la bifurcation
  • MATHEMATICS
  • Bifurcation theory
  • Hamiltonian systems
  • Bifurcation theory
  • Hamiltonian systems
  • Hamiltonsches System
  • Verzweigung
  • Dynamisches System
  • Dynamische systemen
  • Bifurcatie
  • Hamiltonianen
Label
Local and semi-local bifurcations in Hamiltonian dynamical systems : results and examples, Heinz Hanssmann
Instantiates
Publication
Bibliography note
Includes bibliographical references (pages 219-233) 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
Introduction -- Bifurcations of equilibria -- Bifurcations of periodic orbits -- Bifurcations of invariant tori -- Perturbations of ramified torus bundles -- Planar singularities -- Stratifications -- Normal form theory -- Proof of the main KAM theorem -- Proofs of the necessary lemmata
Control code
185026492
Dimensions
unknown
Extent
1 online resource (xv, 237 pages)
Form of item
online
Isbn
9783540388944
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/3-540-38894-X.
Other physical details
illustrations.
http://library.link/vocab/ext/overdrive/overdriveId
978-3-540-38894-4
Reproduction note
Electronic reproduction.
Specific material designation
remote
System control number
(OCoLC)185026492
System details
Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002.
Label
Local and semi-local bifurcations in Hamiltonian dynamical systems : results and examples, Heinz Hanssmann
Publication
Bibliography note
Includes bibliographical references (pages 219-233) 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
Introduction -- Bifurcations of equilibria -- Bifurcations of periodic orbits -- Bifurcations of invariant tori -- Perturbations of ramified torus bundles -- Planar singularities -- Stratifications -- Normal form theory -- Proof of the main KAM theorem -- Proofs of the necessary lemmata
Control code
185026492
Dimensions
unknown
Extent
1 online resource (xv, 237 pages)
Form of item
online
Isbn
9783540388944
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/3-540-38894-X.
Other physical details
illustrations.
http://library.link/vocab/ext/overdrive/overdriveId
978-3-540-38894-4
Reproduction note
Electronic reproduction.
Specific material designation
remote
System control number
(OCoLC)185026492
System details
Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002.

Library Locations

    • Ellis LibraryBorrow it
      1020 Lowry Street, Columbia, MO, 65201, US
      38.944491 -92.326012
Processing Feedback ...