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

Lin Xiao-lin; Dang Xin-yi

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Article Navigation > Applied Mathematics and Mechanics > 1994 > 15(5): 443-455

Lin Xiao-lin, Dang Xin-yi. On the(1,3)Distributions of Limit Cycles of Plane Gaudratic Systems[J]. Applied Mathematics and Mechanics, 1994, 15(5): 443-455.

Citation:

Lin Xiao-lin, Dang Xin-yi. On the(1,3)Distributions of Limit Cycles of Plane Gaudratic Systems[J]. Applied Mathematics and Mechanics, 1994, 15(5): 443-455.

Citation:

Lin Xiao-lin, Dang Xin-yi. On the(1,3)Distributions of Limit Cycles of Plane Gaudratic Systems[J]. Applied Mathematics and Mechanics, 1994, 15(5): 443-455.

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

Lin Xiao-lin¹,
Dang Xin-yi²

1.
Northwest Institute of Light Industry, Xianyang;
2.
Northwest University, Xi'an

Received Date: 1992-02-28
Publish Date: 1994-05-15

Abstract

Abstract

In this paper,(a)we rerise Theorem 2 of Ref [1] omit the condition V₇>0₇>0.(b)we discuss the relative positions of six curvesM(s²,r)=0,J(s²,r)=0,L(s²,r)=0,T(s²,r)=0,s²=s> and s²=s 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.
- quadratic system,
- limit cycle

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References(7)

References

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