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Invariant tori for nearly integrable Hamiltonian systems with degeneracy

✍ Scribed by Junxiang Xu; Jiangong You; Qingjiu Qiu


Publisher
Springer-Verlag
Year
1997
Tongue
French
Weight
157 KB
Volume
226
Category
Article
ISSN
0025-5874

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By an application of the K.A.M. theory, we derive an accurate normal form valid in the vicinity of partially hyperbolic tori which arise close to simple resonances in nearly integrable Hamiltonian systems. This normal form allows to detect orbits homoclinic to a persistent torus. Moreover, it also g