BRAKE ORBITS WITH MINIMAL PERIOD ESTIMATES OF FIRST-ORDER ANISOTROPIC HAMILTONIAN SYSTEMS  

作　　者：Xiaofei ZHANG Chungen LIU 张晓飞;刘春根

机构地区：[1]School of Mathematics and Statistics,Shanxi Datong University,Datong,037009,China [2]School of Mathematics and Information Science,Guangzhou University,Guangzhou,510006,China

出　　处：《Acta Mathematica Scientia》2025年第2期347-362,共16页数学物理学报(B辑英文版)

基　　金：supported by the NSFC(12301138);the Scientific and Technological Innovation Programs of Higher Education Institutions in Shanxi(2021L377);the Doctoral Scientific Research Foundation of Shanxi Datong University(2018-B-15);The second author’s work was supported by the NSFC(12171108).

摘　　要：In this paper,the problem of brake orbits with minimal period estimates are considered for the first-order Hamiltonian systems with anisotropic growth,i.e.,the Hamiltonian functions may have super-quadratic,sub-quadratic and quadratic behaviors simultaneously in different variable components.

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

分 类 号：O175.2[理学—数学]