Biasymptotic solutions of perturbed integrable Hamiltonian systems
| Autor: | Eliasson, L. H. |
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| Zdroj: | Bulletin of the Brazilian Mathematical Society; March 1994, Vol. 25 Issue: 1 p57-76, 20p |
| Abstrakt: | We prove that small perturbations of a real analytic integrable Hamiltonian system ind degrees of freedom generically have biasymptotic orbits which are obtained as intersections of the stable and unstable manifolds of invariant hyperbolic tori of dimensiond-1. Hence, these solutions will be forward and backward asymptotic to such a torus and not to a periodic solution. The generic condition, which is open and dense, is given by an explicit condition on the averaged perturbation. |
| Databáze: | Supplemental Index |
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