Index iteration theories for periodic orbits: Old and new

被引：5
作者：
Duan, Huagui [1 ,2 ]
Long, Yiming [2 ,3 ]
Zhu, Chaofeng [2 ,3 ]
机构：
[1] Nankai Univ, Sch Math Sci, Tianjin 300071, Peoples R China
[2] Nankai Univ, LPMC, Tianjin 300071, Peoples R China
[3] Nankai Univ, Chern Inst Math, Tianjin 300071, Peoples R China
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2020年 / 201卷
关键词：
Hamiltonian systems; Index theories; Iteration theories; Periodic solutions; Multiplicity; Stability; MASLOV-TYPE INDEX; COMPACT CONVEX HYPERSURFACES; NONCONTRACTILE CLOSED GEODESICS; ELLIPTIC LAGRANGIAN SOLUTIONS; LINEAR HAMILTONIAN-SYSTEMS; EQUIVARIANT MORSE-THEORY; SYMPLECTIC PATHS; MINIMAL PERIOD; RELATIVE EQUILIBRIA; RESONANCE IDENTITY;
D O I：
10.1016/j.na.2020.111999
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we give a survey of the index iteration theories developed for periodic solution orbits of Hamiltonian systems in treating various problems from 1950s up to now, including some recent developments, and some of their applications to periodic solution problems. (C) 2020 Elsevier Ltd. All rights reserved.
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页数：26
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