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
Resource Information
The item Local and semi-local bifurcations in Hamiltonian dynamical systems : results and examples, Heinz Hanssmann represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.This item is available to borrow from 1 library branch.
Resource Information
The item Local and semi-local bifurcations in Hamiltonian dynamical systems : results and examples, Heinz Hanssmann represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.
This item is available to borrow from 1 library branch.
- 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
- Language
- eng
- Extent
- 1 online resource (xv, 237 pages)
- 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
- Isbn
- 9783540388968
- 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
- Subject
-
- Bifurcation theory
- Bifurcation theory
- Bifurcation theory
- Bifurcation theory
- Dynamische systemen
- Dynamisches System
- Hamiltonian systems
- Hamiltonian systems
- Hamiltonian systems
- Hamiltonian systems
- Hamiltonianen
- Hamiltonsches System
- MATHEMATICS -- Differential Equations | General
- Systèmes hamiltoniens
- Théorie de la bifurcation
- Verzweigung
- Bifurcatie
- 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
- 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
- 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
- 9783540388968
- 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
- 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
- 9783540388968
- 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.
Subject
- Bifurcation theory
- Bifurcation theory
- Bifurcation theory
- Bifurcation theory
- Dynamische systemen
- Dynamisches System
- Hamiltonian systems
- Hamiltonian systems
- Hamiltonian systems
- Hamiltonian systems
- Hamiltonianen
- Hamiltonsches System
- MATHEMATICS -- Differential Equations | General
- Systèmes hamiltoniens
- Théorie de la bifurcation
- Verzweigung
- Bifurcatie
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<div class="citation" vocab="http://schema.org/"><i class="fa fa-external-link-square fa-fw"></i> Data from <span resource="http://link.library.missouri.edu/portal/Local-and-semi-local-bifurcations-in-Hamiltonian/Agi1zNg5EQ8/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.library.missouri.edu/portal/Local-and-semi-local-bifurcations-in-Hamiltonian/Agi1zNg5EQ8/">Local and semi-local bifurcations in Hamiltonian dynamical systems : results and examples, Heinz Hanssmann</a></span> - <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.library.missouri.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.library.missouri.edu/">University of Missouri Libraries</a></span></span></span></span></div>
