带有约束的Hamilton系统的特征值问题

A Eigenvalue Problem of Hamiltion Systems with Constrains

本文主要研究 C^n 上 Hamilton 函数 H 在约束条件 G(p,q)=C 下的 Hamilton 系统的周期解的存在性问题,证明了当{H,G}=0时此问题有无限多个解.

This paper mainly studies the existence of periodic solution of theHamiltonian function H with constraints G(p,q)=e in C^n.It proves thatthere are infinitely many periodic orbits when{H,G}is zero.