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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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Main Author: Hanßmann, Heinz. (Author, http://id.loc.gov/vocabulary/relators/aut)
Corporate Author: SpringerLink (Online service)
Language:English
Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2007.
Edition:1st ed. 2007.
Series:Lecture Notes in Mathematics, 1893
Subjects:
Dynamics.
Ergodic theory.
Differential equations.
Global analysis (Mathematics).
Manifolds (Mathematics).
Mathematical physics.
Dynamical Systems and Ergodic Theory.
Ordinary Differential Equations.
Global Analysis and Analysis on Manifolds.
Theoretical, Mathematical and Computational Physics.
Online Access:https://doi.org/10.1007/3-540-38894-X
Table of Contents:
  • 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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