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On the(1,3)Distributions of Limit Cycles of Plane Quadratic Systems

ON THE (1, 3) DISTRIBUTIONS OF LIMIT CYCLES OF PLANE QUADRATIC SYSTEMS
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摘要 In this paper, (a) we rerise Theorem 2 of Ref [1] omit the condition V_7>0 .(b) we discuss the relative positions of six curves M(s ̄2, r)=0, J( s ̄2, r)=0, L(s ̄2,r)=0, T(s ̄2,r)=0, Under the condition of the (1.3) distri-butions of limit cycles, we expand the variable regions of parameters ( s , r) and clearly. show them in figure, (c) we study the (1, 3) distributions of limit cycles of one kind quadratic systems with two singular points at the infinite: and (d) we give a generalmethod to discuss the ( 1 ,3) distibutions`of limit cycles of system (1.1) whatever there isone, two or three singular points at the infinite. In this paper, (a) we rerise Theorem 2 of Ref [1] omit the condition V_7>0 .(b) we discuss the relative positions of six curves M(s ̄2, r)=0, J( s ̄2, r)=0, L(s ̄2,r)=0, T(s ̄2,r)=0, Under the condition of the (1.3) distri-butions of limit cycles, we expand the variable regions of parameters ( s , r) and clearly. show them in figure, (c) we study the (1, 3) distributions of limit cycles of one kind quadratic systems with two singular points at the infinite: and (d) we give a generalmethod to discuss the ( 1 ,3) distibutions`of limit cycles of system (1.1) whatever there isone, two or three singular points at the infinite.
出处 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 1994年第5期471-483,共13页 应用数学和力学(英文版)
关键词 quadratic system limit cycle quadratic system, limit cycle
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