一类二阶离散哈密顿系统的无限多同宿轨  

Infinitely Many Homoclinic Orbits for Second Order Discrete Hamiltonian Systems

作　　者：陈梦迪[1] 吴海英[1] 

机构地区：[1]武汉理工大学理学院,湖北武汉430000

出　　处：《河南科技大学学报（自然科学版）》2017年第6期74-81,共8页Journal of Henan University of Science And Technology:Natural Science

基　　金：国家自然科学基金项目(51179146);教育部人文社会科学基金项目(12YJAZH022)

摘　　要：应用变分法研究了超二次二阶离散哈密顿系统的同宿轨问题。在L(t)允许变号并且b(t)是变号实数的条件下,运用临界点理论得到了该系统具有无限多的同宿轨。借鉴现有研究成果,进一步弱化系统中非线性项的控制条件,仍可得到较好的结果。The existence of homoclinic orbits for a class of second order super quadratic discrete Hamiltonian system was considered by using variational method. Under the conditions that L(t) was allowed to be signchanging and b(t) was a real number with sign-changing,the existence of infinitely many homoclinic orbits was established by critical point theory. Corresponding conclusions are still got after weakening control conditions of the nonlinear term on the basis of current research results.

关 键 词：同宿轨 离散 哈密顿系统 临界点理论 超二次 

分 类 号：O177.91[理学—数学]