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

• 作者: XiaoJian ShengLiren
• 来源期刊: 微分方程年刊：英文版
• 学科: 数学
• 关键词: 合作系统 周期轨 流形几何 微分方程 全局渐近稳定性
• 年，卷（期）: 2005,（1）
• 页码范围: 52-58
• 页数: 7页
• 分类号: O189.31

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.