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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
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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. 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.
机构地区 Dept.ofMath.
出处 《Annals of Differential Equations》 2005年第1期52-58,共7页 微分方程年刊(英文版)
关键词 cooperative system EQUILIBRIUM periodic orbit MANIFOLD cooperative system, equilibrium, periodic orbit, manifold
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