ON EQUILIBRIA AND PERIODIC ORBITS OF COOPERATIVE SYSTEMS IN R~3

被引：0
|
作者：
Xiao Jian Sheng Liren (Dept. of Math.
机构：
来源：
Annals of Differential Equations | 2005年 / 01期
关键词：
cooperative system; equilibrium; periodic orbit; manifold;
D O I：
暂无
中图分类号：
O175 [微分方程、积分方程];
学科分类号：
070104 ;
摘要：
In the paper we present new criteria for existence of equilibria and periodic orbits for 3-dimensional systems which are cooperative. Particular attention is given to the relations of equilibria, cycle K and stable manifold of K. Meanwhile, the results of Hirsch [1, Theorem 9] and Jiang [2] are improved.
引用
收藏
页码：52 / 58
页数：7
相关论文
共 50 条
  • [1] PERIODIC ORBITS IN HYPERCHAOTIC CHEN SYSTEMS
    Maza, Susanna
    ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2015,
  • [2] CONTRACTIBLE PERIODIC ORBITS OF LAGRANGIAN SYSTEMS
    Paternain, Miguel
    BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2019, 99 (03) : 445 - 453
  • [3] Takens-Bogdanov bifurcations of equilibria and periodic orbits in the Lorenz system
    Algaba, A.
    Dominguez-Moreno, M. C.
    Merino, M.
    Rodriguez-Luis, A. J.
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2016, 30 (1-3) : 328 - 343
  • [4] Periodic orbits in perturbed generalized Hamiltonian systems
    Zhao, XH
    Li, JB
    Huang, KL
    ACTA MATHEMATICA SCIENTIA, 1995, 15 (04) : 370 - 384
  • [5] Periodic orbits and trace formula - Integrable systems
    Song, JJ
    Li, XG
    Liu, F
    Li, SW
    HIGH ENERGY PHYSICS AND NUCLEAR PHYSICS-CHINESE EDITION, 2001, 25 (09): : 872 - 876
  • [6] On the stability of periodic orbits for differential systems in Rn
    Gasull, Armengol
    Giacomini, Hector
    Grau, Maite
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2008, 10 (2-3): : 495 - 509
  • [7] PERIODIC ORBITS IN PERTURBED GENERALIZED HAMILTONIAN SYSTEMS
    赵晓华
    李继彬
    黄克累
    Acta Mathematica Scientia, 1995, (04) : 370 - 384
  • [8] Families of periodic orbits in resonant reversible systems
    Maurício Firmino Silva Lima
    Marco Antonio Teixeira
    Bulletin of the Brazilian Mathematical Society, New Series, 2009, 40 : 511 - 537
  • [9] An index for periodic orbits of local semidynamical systems
    Fenske, CC
    TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1998, 350 (12) : 4973 - 4991
  • [10] Families of periodic orbits in resonant reversible systems
    Silva Lima, Mauricio Firmino
    Teixeira, Marco Antonio
    BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY, 2009, 40 (04): : 511 - 537
12345