Bifurcations of Subharmonic Solutions in Periodic Perturbation of a Hyperbolic Limit Cycle

HAN Mao-an; GU Sheng-shi

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HAN Mao-an, GU Sheng-shi. Bifurcations of Subharmonic Solutions in Periodic Perturbation of a Hyperbolic Limit Cycle[J]. Applied Mathematics and Mechanics, 2002, 23(8): 871-875.

Citation:

HAN Mao-an, GU Sheng-shi. Bifurcations of Subharmonic Solutions in Periodic Perturbation of a Hyperbolic Limit Cycle[J]. Applied Mathematics and Mechanics, 2002, 23(8): 871-875.

Citation:

HAN Mao-an, GU Sheng-shi. Bifurcations of Subharmonic Solutions in Periodic Perturbation of a Hyperbolic Limit Cycle[J]. Applied Mathematics and Mechanics, 2002, 23(8): 871-875.

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Bifurcations of Subharmonic Solutions in Periodic Perturbation of a Hyperbolic Limit Cycle

Department of Mathematics, Shanghai Jiaotong University, Shanghai 200030, P.R.China

Received Date: 2000-11-25
Rev Recd Date: 2002-03-26
Publish Date: 2002-08-15

Abstract

Abstract

Bifurcations of subharmonic solutions of order m of a planar periodic perturbed system near a hyperbolic limit cycle are discussed.By using a Poincar map and the method of rescaling a discriminating condition for the existence of subharmonic solutions of order m is obtained.An example is given in the end of the paper.
- bifurcation,
- subharmonic solution,
- limit cycle

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References(3)

References

[1]	HAN Mao-an. Periodic perturbations of planar systems with a semistable limit cycle[J]. Chin Sci Bull,1997,42(2):265-269.
[2]	韩茂安. 周期扰动系统不变环面和亚调和解的分支[J]. 中国科学(A辑),1994,37(11):1152-1160.
[3]	韩茂安,朱德明. 微分方程分支理论[M]. 第九章.北京:煤炭工业出版社,1994.