指标理论及星形Hamiltonian系统多个次brake轨道的存在性

An Index Theory and Existence of Multiple Sub brake Orbits for Star Shaped Hamiltonian Systems

利用Ｚｐ指标理论定义了一种相对Ｚｐ指标，并应用它研究了星形能量面上Ｈａｍｉｌｔｏｎｉａｎ系统多个次闸轨道的存在性，从而改进了Ｓｚｕｌｋｉｎ的结果。

In this paper, the author define a kind of relative Z p index using the theory about Z p index, and studies the existence of multiple Sub brake orbits for the Hamiltonian system on starshaped energy surface using the relative Z p index, the author also improves the result obtained by Szulkin.