On Poincaré-Treshchev Tori in Hamiltonian Systems

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2003-396.pdf (166.4 KB)
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Li, Yong
Yi, Yingfei
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http://hdl.handle.net/1853/29464
Abstract
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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The rst author is partially supported by NSFC 19971042, National 973 Key Project of China: Nonlinearity, and National outstanding young's award of China. The second author was partially supported by NSF grant DMS0204119.
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2003
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