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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Détails bibliographiques
Cote:Libro Electrónico
Auteur principal: Hanßmann, Heinz (Auteur)
Collectivité auteur: SpringerLink (Online service)
Format: Électronique eBook
Langue:Inglés
Publié: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2007.
Édition:1st ed. 2007.
Collection:Lecture Notes in Mathematics, 1893
Sujets:
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.
Accès en ligne:Texto Completo
Table des matières:
  • 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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