The Existence of Limit Cycles For The System X=Q(X,y),y=p(X)

Xu Rong-liang; Zhou Guo-cai; Sun Zhao

Volume 16 Issue 1

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Abstract

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Article Navigation > Applied Mathematics and Mechanics > 1995 > 16(1): 53-59

Xu Rong-liang, Zhou Guo-cai, Sun Zhao. The Existence of Limit Cycles For The System X=Q(X,y),y=p(X)[J]. Applied Mathematics and Mechanics, 1995, 16(1): 53-59.

Citation:

Xu Rong-liang, Zhou Guo-cai, Sun Zhao. The Existence of Limit Cycles For The System X=Q(X,y),y=p(X)[J]. Applied Mathematics and Mechanics, 1995, 16(1): 53-59.

Citation:

Xu Rong-liang, Zhou Guo-cai, Sun Zhao. The Existence of Limit Cycles For The System X=Q(X,y),y=p(X)[J]. Applied Mathematics and Mechanics, 1995, 16(1): 53-59.

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The Existence of Limit Cycles For The System X=Q(X,y),y=p(X)

Department of Applied Mathematics and Mechanics, Taiyuan University of Technology, Taiyuan

Received Date: 1994-07-25
Publish Date: 1995-01-15

Abstract

Abstract

In this paper we use A.F.Filippov's method on the more generalized system x=Q(x,y),y=P(x),atheorem of the ecistence of stable limit cycles is obtained.
- limit cycle,
- trajectory,
- annular region,
- inner(outer) boundary

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References(4)

References

[1]	Филиппов A.Φ.Достаточное условие сушествования лрелелъного цикла пля уравнения второго порядка,Mam,Сб.,30,72(1952) 1,171-180.
[2]	叶彦谦等,《极限环论》,上海科学技术出版社(1984).
[3]	张芷芬、丁同仁、黄文灶、董镇喜等,《微分方程定性理沦》,科学出版社(1985).
[4]	葛渭高,方程后,x=h(y)-F(x),y=-g(x)的极限环存在足理,应用数学学报,11(2)(1988).

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