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A geometric mechanism for diffusion in Hamiltonian systems overcoming the large gap problem : heuristics and rigorous verification on a model /
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Otros Autores: | , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Providence, R.I. :
American Mathematical Society,
2006.
|
| Colección: | Memoirs of the American Mathematical Society ;
no. 844. |
| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- 1. Introduction 2. Heuristic discussion of the mechanism 3. A simple model 4. Statement of rigorous results 5. Notation and definitions, resonances 6. Geometric features of the unperturbed problem 7. Persistence of the normally hyperbolic invariant manifold and its stable and unstable manifolds 8. The dynamics in $\tilde {\Lambda }_\epsilon $ 9. The scattering map 10. Existence of transition chains 11. Orbits shadowing the transition chains and proof of Theorem 4.1 12. Conclusions and remarks 13. An example.