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Concerning natural Hamiltonian systems integrable in elliptic coordinates

✍ Scribed by A. A. Zaitsev


Book ID
105531634
Publisher
SP MAIK Nauka/Interperiodica
Year
1996
Tongue
English
Weight
298 KB
Volume
60
Category
Article
ISSN
0001-4346

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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