A NECESSARY AND SUFFICIENT CONDITION FOR THE COEXISTENCE OF A CLASS OF CUBIC CURVE SEPARATRIX CYCLES AND LIMIT CYCLES TO THE CUBIC SYSTEM

A NECESSARY AND SUFFICIENT CONDITION FOR THE COEXISTENCE OF A CLASS OF CUBIC CURVE SEPARATRIX CYCLES AND LIMIT CYCLES TO THE CUBIC SYSTEM

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摘要 In this paper, we give the necessary and sufficient condition for the coexistence of a class of cubic curve separatrix cycles and limit cycles to the cubic system, and study their topological structures. In this paper, we give the necessary and sufficient condition for the coexistence of a class of cubic curve separatrix cycles and limit cycles to the cubic system, and study their topological structures.

作者司成斌沈伯骞

机构地区 Dept.of Math.

出处《Annals of Differential Equations》 2003年第2期195-201,共7页 微分方程年刊（英文版）

关键词 cubic system cubic curve separatrix cycle limit cycle topological structure cubic system, cubic curve separatrix cycle, limit cycle, topological structure

分类号 O175 [理学—基础数学]

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Annals of Differential Equations

2003年第2期

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A NECESSARY AND SUFFICIENT CONDITION FOR THE COEXISTENCE OF A CLASS OF CUBIC CURVE SEPARATRIX CYCLES AND LIMIT CYCLES TO THE CUBIC SYSTEM

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