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Non-integrability of a Weakly Integrable Hamiltonian System

✍ Scribed by Giuseppe Pucacco; Kjell Rosquist


Book ID
111576585
Publisher
Springer Netherlands
Year
2004
Tongue
English
Weight
144 KB
Volume
88
Category
Article
ISSN
1572-9478

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An n-degree-of-freedom quasi-non-integrable-Hamiltonian system is first reduced to an Itoˆequation of one-dimensional averaged Hamiltonian by using the stochastic averaging method developed by the first author and his coworkers. The necessary and sufficient conditions for the asymptotic stability in