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.