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| INFINITELY MANY HOMOCLINIC ORBITS FOR A CLASS OF HAMILTONIAN SYSTEMS WITH SYMMETRY |
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Citation： |
Ding Yanheng.INFINITELY MANY HOMOCLINIC ORBITS FOR A CLASS OF HAMILTONIAN SYSTEMS WITH SYMMETRY[J].Chinese Annals of Mathematics B,1998,19(2):167~178 |
| Page view： 1180
Net amount： 749 |
Authors： |
Ding Yanheng; |
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| Abstract： |
This paper deals via variational methods
with the existence of infinitely many homoclinic orbits for a class of first
order time dependent Hamiltonian systems
$$
\dot z=JH_z(t,z)
$$
without any periodicity assumption on $H,$ providing that $H(t,z)$ is
even with respect to $z\in \R^{2N},$ superquadratic or subquadratic
as $|z|\to \infty,$ and satisfies some additional assumptions. |
Keywords： |
Variational method, Homoclinic orbits,
Hamiltonian systems |
Classification： |
34B30, 34C25, 34C37 |
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