## RN \_ S ª R has a unique strict global maximum at a point p g R N and a singular Under some compactness conditions on V at 1 infinity and around the singular set S we study the existence of homoclinic orbits to p which link with S. When V and G satisfy suitable geometrical conditions, we can p
Existence of Homoclinic Solutions for a Class of Time-Dependent Hamiltonian Systems
✍ Scribed by P.C Carrião; O.H Miyagaki
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 109 KB
- Volume
- 230
- Category
- Article
- ISSN
- 0022-247X
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📜 SIMILAR VOLUMES
## 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
## Abstract In this paper, the unboundedness of solutions for the following planar Hamilton system __Ju__ ′ = ∇__H__ (__u__) + __h__ (__t__) is discussed, where the function __H__ (__u__) ∈ __C__^2^(__R__^2^, __R__) is positive for __u__ ≠ 0 and is positively (__q__, __p__)‐quasihomogeneous of qu