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On the (1, 3) distributions of limit cycles of plane quadratic systems
Authors:Lin Xiao-lin  Dang Xin-yi
Institution:1. Northwest Institute of Light Industry Xianyang; 2. Department of Mathematics Northwest University, Xian
Abstract:In this paper, (a) we revise Theorem 2 of Ref. 1] omit the condition 
$$\bar V_1  > 0$$
: (b) we discuss the relative positions of six curvesM(s 2, r)=0, J(s2, r)=0, L(s2, r)=0, T(s2, r)=0, s2=s + 2 ands 2=s 2 . Under the condition of the (1.3) distributions 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 general method to discuss the (1,3) distibutions of limit cycles of system (1.1) whatever there is one, two or three singular points at the infinite
Keywords:quadratic system  limit cycle
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