Local and Semi-Local Bifurcations in Hamiltonian Dynamical Systems Results and Examples /

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, tor...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Hanßmann, Heinz (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2007.
Edición:1st ed. 2007.
Colección:Lecture Notes in Mathematics, 1893
Temas:
Dynamical systems.
Differential equations.
Global analysis (Mathematics).
Manifolds (Mathematics).
Mathematical physics.
Dynamical Systems.
Differential Equations.
Global Analysis and Analysis on Manifolds.
Theoretical, Mathematical and Computational Physics.
Acceso en línea:Texto Completo
Descripción
Sumario: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.
Descripción Física:XVI, 242 p. 22 illus. online resource.
ISBN:9783540388968
ISSN:1617-9692 ;

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