文献类型：期刊文献

英文题名：The Study of Minimal Period Estimates for Brake Orbits of Autonomous Subquadratic Hamiltonian Systems

作者：Li C.[1]

第一作者：Li C.

通讯作者：Li, C[1]

机构：[1]Beijing Union Univ, Basic Dept, Beijing 100101, Peoples R China

第一机构：北京联合大学基础教学部

通讯机构：[1]corresponding author), Beijing Union Univ, Basic Dept, Beijing 100101, Peoples R China.|[1141788]北京联合大学基础教学部;[11417]北京联合大学;

年份：2015

卷号：31

期号：10

起止页码：1645-1658

外文期刊名：ACTA MATHEMATICA SINICA-ENGLISH SERIES

收录：;Scopus(收录号：2-s2.0-84942099435);WOS:【SCI-EXPANDED(收录号:WOS:000361502600012)】；

基金：Supported by Beijing Natural Science Foundation (Grant No. 1144012) and Beijing Talents Found (Grant No. 2014000020124G065)

语种：英文

外文关键词：Brake orbits; minimal period; L-Maslov type index; Hamiltonian systems

摘要：In this paper, we consider the minimal period estimates for brake orbits of autonomous subquadratic Hamiltonian systems. We prove that if the Hamiltonian function H is an element of C-2(R-2n, R) is unbounded and not uniformly coercive, there exists at least one nonconstant T-periodic brake orbit (z, T) with minimal period T or T/2 for every number T> 0.