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

ON EQUILIBRIA AND PERIODIC ORBITS OF COOPERATIVE SYSTEMS IN R3

作     者:XiaoJian ShengLiren 

作者机构:Dept.ofMath.AnhuiUniversityHefei230039 

出 版 物:《Annals of Differential Equations》 (微分方程年刊(英文版))

年 卷 期:2005年第21卷第1期

页      面:52-58页

学科分类:07[理学] 070104[理学-应用数学] 0701[理学-数学] 

主  题:cooperative system equilibrium periodic orbit manifold 

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.

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