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Homoclinic orbits for a class of the second order Hamiltonian systems

โœ Scribed by Wan Lili; Tang Chunlei

Book ID
108422397
Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
189 KB
Volume
30
Category
Article
ISSN
0252-9602

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๐Ÿ“œ SIMILAR VOLUMES

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โœ Paolo Caldiroli ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 356 KB ๐Ÿ‘ 1 views

## 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

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In this paper, the existence of homoclinic orbits for the second-order Hamiltonian systems without periodicity is studied and infinitely many homoclinic orbits for both superlinear and asymptotically linear cases are obtained.

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