一类Hamilton系统的同宿解存在性

Existence of Homoclinic Solution for a Class of Hamiltonian Systems

中文关键词:  同宿解  Hamilton系统  临界点  Jensen不等式.

英文关键词:homoclinic orbit  Hamiltonian system  critical point  Jensen inequality.

中文摘要:

      本文研究了一类Hamilton系统的同宿解问题,通过一列微分方程系统的$2kT$周期解的极限获得了该系统同宿解的存在性.

英文摘要:

      We study the existence of homoclinic orbits for some Hamiltonian system. A homoclinic orbit is obtained as a limit of $2kT$-periodic solutions of a sequence of systems of differential equations.