| INFINITELY MANY HOMOCLINIC ORBITS FOR A CLASS OF HAMILTONIAN SYSTEMS WITH SYMMETRY |
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| 作者姓名： | Ding Yanheng |
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| 摘 要： | §１．ＩｎｔｒｏｄｕｃｔｉｏｎａｎｄＭａｉｎＲｅｓｕｌｔｓＴｈｉｓｐａｐｅｒｉｓａｎｅｘｔｅｎｓｉｏｎｏｆｔｈｅｗｏｒｋ［８］．Ｗｅｃｏｎｓｉｄｅｒｔｈｅｅｘｉｓｔｅｎｃｅｏｆｉｎｆｉｎｉｔｅｌｙｍａｎｙｈｏｍｏｃｌｉｎｉｃｏｒｂｉｔｓｆｏｒｔｈｅｆ...
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| 关 键 词： | 变量法 同宿轨 汉密尔顿系统 常微分方程 |
| 收稿时间： | 9/7/1995 12:00:00 AM |
| 修稿时间： | 9/3/1996 12:00:00 AM |
INFINITELY MANY HOMOCLINIC ORBITS FOR
A CLASS OF HAMILTONIAN SYSTEMS WITH SYMMETRY |
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| Ding Yanheng.INFINITELY MANY HOMOCLINIC ORBITS FOR A CLASS OF HAMILTONIAN SYSTEMS WITH SYMMETRY[J].Chinese Annals of Mathematics,Series B,1998,19(2):167-178. |
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| Authors: | Ding Yanheng |
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| Institution: | 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. |
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| Keywords: | Variational method Homoclinic orbits Hamiltonian systems |
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