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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
作者姓名:司成斌  沈伯骞
作者单位:Dept.of Math.,Liaoning Normal University,Dalian 116029,Dept.of Math.,Liaoning Normal University,Dalian 116029
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.


A NECESSARY AND SUFFICIENT CONDITION FOR THE COEXISTENCE OF A CLASS OF CUBIC CURVE SEPARATRIX CYCLES AND LIMIT CYCLES TO THE CUBIC SYSTEM
Si Chengbin Shen Boqian.A NECESSARY AND SUFFICIENT CONDITION FOR THE COEXISTENCE OF A CLASS OF CUBIC CURVE SEPARATRIX CYCLES AND LIMIT CYCLES TO THE CUBIC SYSTEM[J].微分方程年刊(英文版),2003(2).
Authors:Si Chengbin Shen Boqian
Abstract: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.
Keywords:cubic system  cubic curve separatrix cycle  limit cycle  topological structure
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