On Poincaré - Treshchev Tori in Hamiltonian Systems
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چکیده
We study the persistence of Poincaré Treshchev tori on a resonant surface of a nearly integrable Hamiltonian system in which the unperturbed Hamiltonian needs not satisfy the Kolmogorov non-degenerate condition. The persistence of the majority of invariant tori associated to g-nondegenerate relative equilibria on the resonant surface will be shown under a Rüssmann like condition.
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تاریخ انتشار 2003