The Monodromy in the Hamiltonian Hopf Bifurcation

The Monodromy in the Hamiltonian Hopf Bifurcation
Title The Monodromy in the Hamiltonian Hopf Bifurcation PDF eBook
Author J. J. Duistermaat
Publisher
Pages 5
Release 1997
Genre
ISBN

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The Hamiltonian Hopf Bifurcation

The Hamiltonian Hopf Bifurcation
Title The Hamiltonian Hopf Bifurcation PDF eBook
Author Jan Cornelis van der Meer
Publisher Springer
Pages 121
Release 2006-11-14
Genre Mathematics
ISBN 3540397108

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Metamorphoses of Hamiltonian Systems with Symmetries

Metamorphoses of Hamiltonian Systems with Symmetries
Title Metamorphoses of Hamiltonian Systems with Symmetries PDF eBook
Author Konstantinos Efstathiou
Publisher Springer
Pages 155
Release 2005-01-28
Genre Science
ISBN 3540315500

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Modern notions and important tools of classical mechanics are used in the study of concrete examples that model physically significant molecular and atomic systems. The parametric nature of these examples leads naturally to the study of the major qualitative changes of such systems (metamorphoses) as the parameters are varied. The symmetries of these systems, discrete or continuous, exact or approximate, are used to simplify the problem through a number of mathematical tools and techniques like normalization and reduction. The book moves gradually from finding relative equilibria using symmetry, to the Hamiltonian Hopf bifurcation and its relation to monodromy and, finally, to generalizations of monodromy.

Metamorphoses of Hamiltonian Systems with Symmetries

Metamorphoses of Hamiltonian Systems with Symmetries
Title Metamorphoses of Hamiltonian Systems with Symmetries PDF eBook
Author Konstantinos Efstathiou
Publisher Springer Science & Business Media
Pages 164
Release 2005
Genre Hamiltonian systems
ISBN 9783540243168

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Harmonic Mappings and Minimal Immersions

Harmonic Mappings and Minimal Immersions
Title Harmonic Mappings and Minimal Immersions PDF eBook
Author Jan-Cees van der Meer
Publisher
Pages 285
Release 1985
Genre Bifurcation theory
ISBN 9780387160375

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Local and Semi-Local Bifurcations in Hamiltonian Dynamical Systems

Local and Semi-Local Bifurcations in Hamiltonian Dynamical Systems
Title Local and Semi-Local Bifurcations in Hamiltonian Dynamical Systems PDF eBook
Author Heinz Hanßmann
Publisher Springer
Pages 248
Release 2006-10-18
Genre Mathematics
ISBN 3540388966

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This book demonstrates that while elliptic and hyperbolic tori determine the distribution of maximal invariant tori, they themselves form n-parameter families. Therefore, torus bifurcations of high co-dimension may be found in a single given Hamiltonian system, absent untypical conditions or external parameters. The text moves logically from the integrable case, in which symmetries allow for reduction to bifurcating equilibria, to non-integrability, where smooth parametrisations must be replaced by Cantor sets.

The Hamiltonian Hopf Bifurcation

The Hamiltonian Hopf Bifurcation
Title The Hamiltonian Hopf Bifurcation PDF eBook
Author Jan Cornelis Meer (wiskunde)
Publisher
Pages 121
Release 1985
Genre
ISBN

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