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
Tabla de Contenidos:
  • 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.

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