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Quasimodes and exponential splitting of a hammock

โœ Scribed by T. F. Pankratova

Book ID
105069500
Publisher
Springer US
Year
1992
Tongue
English
Weight
374 KB
Volume
62
Category
Article
ISSN
1573-8795

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๐Ÿ“œ SIMILAR VOLUMES

Melnikov method and exponentially small
Melnikov method and exponentially small splitting of separatrices
โœ V.G Gelfreich ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 996 KB

We study the splitting of separatrices for high-frequency perturbations of a planar Hamiltonian system. It is well known that in the analytic case the splitting of separatrices is exponentially small with respect to the perturbation period, 2~re, and that the constant in the exponent is related to t