Symmetric Brake Orbits with Minimal Period of First-order Anisotropic Hamiltonian Systems  

作　　者：Xiao Fei ZHANG Fan Jing WANG 

机构地区：[1]School of Mathematics and Statistics,Shanxi Datong University,Datong,037009,P.R.China [2]School of Statistics and Mathematics,Shanghai Lixin University of Accounting and Finance,Shanghai,201209,P.R.China

出　　处：《Acta Mathematica Sinica,English Series》2024年第12期3079-3092,共14页数学学报（英文版）

基　　金：supported by the National Natural Science Foundation of China(Grant No.12301138);the Scientific and Technological Innovation Programs of Higher Education Institutions in Shanxi(Grant No.2021L377);the Doctoral Scientific Research Foundation of Shanxi Datong University(Grant No.2018-B-15)。

摘　　要：Via the homology link theorem and the L0-index theory,symmetric brake orbits with minimal period are ensured for first-order Hamiltonian systems under anisotropic growth assumptions,which are variant forms of sub-quadratic growth conditions.

关 键 词：Hamiltonian system anisotropic growth brake orbit L 0-index 

分 类 号：O175[理学—数学]