| INFINITELY MANY HOMOCLINIC ORBITS FOR A CLASS OF HAMILTONIAN SYSTEMS WITH SYMMETRY |
| |
| 引用本文： | Ding Yanheng. INFINITELY MANY HOMOCLINIC ORBITS FOR A CLASS OF HAMILTONIAN SYSTEMS WITH SYMMETRY[J]. 数学年刊B辑(英文版), 1998, 19(2): 167-178 |
| |
| 作者姓名： | Ding Yanheng |
| |
| 摘 要： | §１．ＩｎｔｒｏｄｕｃｔｉｏｎａｎｄＭａｉｎＲｅｓｕｌｔｓＴｈｉｓｐａｐｅｒｉｓａｎｅｘｔｅｎｓｉｏｎｏｆｔｈｅｗｏｒｋ［８］．Ｗｅｃｏｎｓｉｄｅｒｔｈｅｅｘｉｓｔｅｎｃｅｏｆｉｎｆｉｎｉｔｅｌｙｍａｎｙｈｏｍｏｃｌｉｎｉｃｏｒｂｉｔｓｆｏｒｔｈｅｆ...
|
| 关 键 词： | 变量法 同宿轨 汉密尔顿系统 常微分方程 |
| 收稿时间： | 1995-09-07 |
| 修稿时间： | 1996-09-03 |
INFINITELY MANY HOMOCLINIC ORBITS FOR A CLASS OF HAMILTONIAN SYSTEMS WITH SYMMETRY |
| |
| 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 |
| |
| Authors: | Ding Yanheng |
| |
| Affiliation: | DING YANHENG * |
| |
| Abstract: | This paper deals via variational methodswith the existence of infinitely many homoclinic orbits for a class of firstorder time dependent Hamiltonian systems$$dot z=JH_z(t,z)$$without any periodicity assumption on $H,$ providing that $H(t,z)$ iseven with respect to $zin R^{2N},$ superquadratic or subquadraticas $|z|to infty,$ and satisfies some additional assumptions. |
| |
| Keywords: | Variational method Homoclinic orbits Hamiltonian systems |
| 本文献已被 CNKI 维普 等数据库收录！ |
| 点击此处可从《数学年刊B辑(英文版)》浏览原始摘要信息 |
|
点击此处可从《数学年刊B辑(英文版)》下载全文 |
