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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| Formato: | Libro electrónico |
| Idioma: | Inglés |
| Publicado: |
Berlin, Germany :
Springer
[2007]
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| Edición: | 1st ed. 2007. |
| Colección: | Lecture Notes in Mathematics,
1893 |
| Materias: | |
| Ver en Biblioteca Universitat Ramon Llull: | https://discovery.url.edu/permalink/34CSUC_URL/1im36ta/alma991009460804206719 |
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.
