The index of impulsive periodic orbits. (March 2020)

• Record Type: Journal Article
• Authors: Ding, Boyang; Pan, Shiyao; Ding, Changming
• Is Part Of: Nonlinear analysis. Volume 192(2020)
• Publication Date: 2020-03
• Subjects: 37C27 -- 34C25; Impulsive system -- Periodic orbit -- Index -- Zhukovskiǐ quasi-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.2019.111659
• Languages: English
• ISSNs: 0362-546X

Abstract

Abstract: In this paper, we introduce the index of an impulsive periodic orbit, which can be used to judge the Zhukovskiǐ quasi-stabilities of periodic orbits. Also, we present an example of predator–prey model to illustrate our results.