Index iteration theories for periodic orbits: Old and new. (December 2020)

• Record Type: Journal Article
• Authors: Duan, Huagui; Long, Yiming; Zhu, Chaofeng
• Is Part Of: Nonlinear analysis. Volume 201(2020)
• Publication Date: 2020-12
• Subjects: 58-02 -- 58E05 -- 58E10 -- 37J45 -- 34C25; Hamiltonian systems -- Index theories -- Iteration theories -- Periodic solutions -- Multiplicity -- Stability; Mathematical analysis -- Periodicals; Functional analysis -- Periodicals; Nonlinear theories -- Periodicals; Analyse mathématique -- Périodiques; Analyse fonctionnelle -- Périodiques; Théories non linéaires -- Périodiques; Functional analysis; Mathematical analysis; Nonlinear theories; Periodicals; Electronic journals; 515.7248
• DOI: 10.1016/j.na.2020.111999
• Languages: English
• ISSNs: 0362-546X

Abstract

Abstract: 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.