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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| Auteurs principaux: | , |
|---|---|
| Format: | Livre numérique |
| Langue: | Anglais |
| Publié: |
Berlin, Heidelberg :
Springer Berlin Heidelberg
[20..].
Cham : Springer Nature |
| Édition: | 1st ed. 2007. |
| Collection: | Lecture Notes in Mathematics
1893 |
| Sujets: | |
| Accès en ligne: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Note: |
L'impression du document génère 247 p. Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Local and semi-local bifurcations in Hamiltonian dynamical systems, results and examples, Heinz Hanssmann, Berlin, Springer, 2007, 1 vol. (XV-237 p.), Lecture notes in mathematics, 3-540-38894-X |
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