| 一类二阶离散Hamiltonian系统的同宿解 |
| |
| 引用本文： | 索剑峰,葛瑜. 一类二阶离散Hamiltonian系统的同宿解[J]. 云南大学学报(自然科学版), 2011, 33(6): 627-633 |
| |
| 作者姓名： | 索剑峰 葛瑜 |
| |
| 作者单位： | 云南大学数学与统计学院数学系; |
| |
| 基金项目： | 国家自然科学基金资助项目(10971183) |
| |
| 摘 要： | 研究了一类二阶离散Hamiltonian系统的非平凡同宿解的存在性.首先构造与原系统相关的一列周期系统;然后在一定条件下利用山路定理得到这些系统的非平凡2kT-周期解;最后通过极限得到原系统的非平凡同宿解.
|
| 关 键 词： | 同宿解 离散Hamiltonian系统 临界点 |
Homoclinic solutions for a class of the second order discrete Hamiltonian systems |
| |
| SUO Jian-feng,GE Yu. Homoclinic solutions for a class of the second order discrete Hamiltonian systems[J]. Journal of Yunnan University(Natural Sciences), 2011, 33(6): 627-633 |
| |
| Authors: | SUO Jian-feng GE Yu |
| |
| Affiliation: | SUO Jian-feng,GE Yu(Department of Mathematics,Yunnan University,Kunming 650091,China) |
| |
| Abstract: | We study the existence of nontrivial homoclinic solution for the second order discrete Hamiltonian system.At first,one sequence of periodic systems is constructed with the original system.Then,under certain conditions,nontrivial 2kT-periodic solutions of these systems are got by mountain theorem.Finally,a homoclinic solution is obtained as a limit of these 2kT-periodic solutions. |
| |
| Keywords: | homoclinic solutions discrete Hamiltonian systems critical point |
| 本文献已被 CNKI 等数据库收录！ |
| 点击此处可从《云南大学学报(自然科学版)》浏览原始摘要信息 |
|
点击此处可从《云南大学学报(自然科学版)》下载全文 |
