一类二阶离散Hamiltonian系统的同宿解  

Homoclinic solutions for a class of the second order discrete Hamiltonian systems

作　　者：索剑峰[1] 葛瑜[1] 

机构地区：[1]云南大学数学与统计学院数学系,云南昆明650091

出　　处：《云南大学学报（自然科学版）》2011年第6期627-633,共7页Journal of Yunnan University(Natural Sciences Edition)

基　　金：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.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.

关 键 词：同宿解 离散Hamiltonian系统 临界点 

分 类 号：O175[理学—数学]