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Resonance capture in certain nearly Hamiltonian systems

โœ Scribed by James A Murdock

Publisher
Elsevier Science
Year
1975
Tongue
English
Weight
827 KB
Volume
17
Category
Article
ISSN
0022-0396

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๐Ÿ“œ SIMILAR VOLUMES

Dynamics around Simple Resonant Tori in
Dynamics around Simple Resonant Tori in Nearly Integrable Hamiltonian Systems
โœ Laurent Niederman ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 361 KB

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