典型文献
Mean Index for Non-periodic Orbits in Hamiltonian Systems
文献摘要：
In this paper,we define mean index for non-periodic orbits in Hamiltonian systems and study its properties.In general,the mean index is an interval in R which is uniformly continuous on the systems.We show that the index interval is a point for a quasi-periodic orbit.The mean index can be considered as a generalization of rotation number defined by Johnson and Moser in the study of almost periodic Schr?dinger operators.Motivated by their works,we study the relation of Fredholm property of the linear operator and the mean index at the end of the paper.
文献关键词：
中图分类号：
作者姓名：
Xi Jun;HU Li WU
作者机构：
School of Mathematics,Shandong University,Ji'nan 250100,P.R.China
文献出处：
引用格式：
[1]Xi Jun;HU Li WU-.Mean Index for Non-periodic Orbits in Hamiltonian Systems)[J].数学学报（英文版）,2022(01):291-310
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AB值：
0.537996
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