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Homoclinic orbits for a special class of non autonomous Hamiltonian systems

✍ Scribed by Addolorata Salvatore

Publisher: Elsevier Science
Year: 1997
Tongue: English
Weight: 531 KB
Volume: 30
Category: Article
ISSN: 0362-546X
DOI: 10.1016/s0362-546x(97)00142-9

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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__ δ Ω / {0}, __V(x)__ = __V