| 陈会文,廖茂新.具非对称位势二阶Hamilton系统的同宿轨[J].南华大学学报(自然科学版),2016,30(3):57~60.[CHEN Hui-wen,LIAO Mao-xin.Homoclinic Orbits for Second Order Hamiltonian Systems Possessing Asymmetric Potentials[J].Journal of University of South China(Science and Technology),2016,30(3):57~60.] |
| 具非对称位势二阶Hamilton系统的同宿轨 |
| Homoclinic Orbits for Second Order Hamiltonian Systems Possessing Asymmetric Potentials |
| 投稿时间：2015-07-09 |
| DOI： |
| 中文关键词: Hamilton系统 同宿轨 临界点理论 |
| 英文关键词:Hamiltonian systems homoclinic orbits critical point theory |
| 基金项目:国家自然科学基金资助项目(11526111);湖南省自然科学基金资助项目(2016JJ6127);衡阳市科技局基金资助项目(2015KJ13) |
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| 中文摘要: |
| 运用三临界点定理研究了一类二阶Hamilton系统同宿轨的存在性.在位势函数是非对称假设下,建立了一个新的存在性准则,改进了已有文献的结果. |
| 英文摘要: |
| In this paper,we study the existence of homoclinic orbits for a class of second order Hamiltonian systems via three critical points theorems.Under the potential functions of asymmetric,we establish a new existence criterion,which greatly improve some existing results in the literature. |
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