A PROBLEM OF POINCARE BIFURCATIOM THEORY IN QUADRATIC SYSTEM WITH TWOSEMI-EQUATOR ARC SEPARATRIX CYCLES AND TWO CENTRES  

A PROBLEM OF POINCARE BIFURCATIOM THEORY IN QUADRATIC SYSTEM WITH TWO SEMI-EQUATOR ARC SEPARATRIX CYCLES AND TWO CENTRES

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作  者:郝金彪[1] 沈伯骞[1] 

机构地区:[1]辽宁师范大学

出  处:《Annals of Differential Equations》1995年第3期270-275,共6页微分方程年刊(英文版)

摘  要:In this paper, we use the theory of Poincare bifurcation to discuss the possibility of the number of limit cycles and its distribution, which emerges from the quadratic system with two centres and two semi -equator arc separatrix cycles. Thereby, we obtain the condition of the coexistence of both the centre and focus, and the condition of distribution for the limit cycles just in form (1, 1 ).In this paper, we use the theory of Poincare bifurcation to discuss the possibility of the number of limit cycles and its distribution, which emerges from the quadratic system with two centres and two semi -equator arc separatrix cycles. Thereby, we obtain the condition of the coexistence of both the centre and focus, and the condition of distribution for the limit cycles just in form (1, 1 ).

分 类 号:O175[理学—数学]

 

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