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Non-local criteria for the existence and stability of periodic oscillations in autonomous hamiltonian systems

โœ Scribed by A.A. Zevin


Publisher
Elsevier Science
Year
1986
Tongue
English
Weight
651 KB
Volume
50
Category
Article
ISSN
0021-8928

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## Abstract We consider the Hamiltonian system in IR^__N__^ given by where __V__ : IR^__N__^ rarr; IR is a smooth potential having a non degenerate local maximum at 0 and we assume that there is an open bounded neighborhood ft of 0 such that V(__x__) < __V__(0) for __x__ ฮด ฮฉ / {0}, __V(x)__ = __V