The index of impulsive periodic orbits

被引:3
|
作者
Ding, Boyang [1 ]
Pan, Shiyao [2 ]
Ding, Changming [2 ]
机构
[1] Tilburg Univ, Dept Econ, NL-5037 AB Tilburg, Netherlands
[2] Xiamen Univ, Sch Math Sci, Xiamen 361005, Peoples R China
关键词
Impulsive system; Periodic orbit; Index; Zhukovskii quasi-stability; LIMIT-SETS; SYSTEMS;
D O I
10.1016/j.na.2019.111659
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we introduce the index of an impulsive periodic orbit, which can be used to judge the Zhukovskii quasi-stabilities of periodic orbits. Also, we present an example of predator-prey model to illustrate our results. (C) 2019 Elsevier Ltd. All rights reserved.
引用
收藏
页数:9
相关论文
共 50 条
  • [1] Periodic Orbits of n-Dimensional Impulsive Switched Systems
    Pan, Shiyao
    Wu, Ke
    Wang, Guoshun
    Li, Gang
    CIRCUITS SYSTEMS AND SIGNAL PROCESSING, 2023, 43 (3) : 1414 - 1428
  • [2] An index for periodic orbits of local semidynamical systems
    Fenske, CC
    TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1998, 350 (12) : 4973 - 4991
  • [3] Transverse index and periodic orbits
    C. Lazarov
    Geometric & Functional Analysis GAFA, 2000, 10 : 124 - 159
  • [4] The Existence of Periodic Orbits for Nonlinear Impulsive Differential Systems
    Xilin FU
    Jiangang QI and Yansheng LIU (Department of Mathematics
    Communications in Nonlinear Science and Numerical Simulation, 1999, (01) : 50 - 53
  • [5] Optimization of bi-impulsive Earth-Moon transfers using periodic orbits
    Tan, Minghu
    Zhang, Ke
    Wang, Jingyu
    ASTROPHYSICS AND SPACE SCIENCE, 2021, 366 (02)
  • [6] Optimization of bi-impulsive Earth-Moon transfers using periodic orbits
    Minghu Tan
    Ke Zhang
    Jingyu Wang
    Astrophysics and Space Science, 2021, 366
  • [7] On hyperbolic points and periodic orbits of symplectomorphisms
    Batoreo, Marta
    JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 2015, 91 : 249 - 265
  • [8] Organization of the periodic orbits in the Rossler flow
    Dong, Chengwei
    INTERNATIONAL JOURNAL OF MODERN PHYSICS B, 2018, 32 (21):
  • [9] Multiple Periodic Orbits in the Ring Problem: Families of Triple Periodic Orbits
    Telemachus J. Kalvouridis
    Astrophysics and Space Science, 2001, 277 : 579 - 614
  • [10] Structural principles for periodic orbits in glass networks
    Lu, Linghong
    Edwards, Roderick
    JOURNAL OF MATHEMATICAL BIOLOGY, 2010, 60 (04) : 513 - 541