Local and semi-local bifurcations in Hamiltonian dynamical systems : results and examples

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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Bibliographic Details
Other Authors: Hanssmann, Heinz, author (author)
Format: eBook
Language:Inglés
Published: Berlin, Germany : Springer [2007]
Edition:1st ed. 2007.
Series:Lecture Notes in Mathematics, 1893
Subjects:
Bifurcation theory.
Hamiltonian systems.
See on Biblioteca Universitat Ramon Llull:https://discovery.url.edu/permalink/34CSUC_URL/1im36ta/alma991009460804206719
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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