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Applied Mathematics and Mechanics (English Edition) ›› 2002, Vol. 23 ›› Issue (8): 981-986.

• 论文 • 上一篇    下一篇

BIFURCATIONS OF SUBHARMONIC SOLUTIONS IN PERIODIC PERTURBATION OF A HYPERBOLIC LIMIT CYCLE

韩茂安, 顾圣士   

  1. Department of Mathematics, Shanghai Jiaotong University, Shanghai 200030, P. R. China
  • 收稿日期:2000-11-25 修回日期:2002-03-26 出版日期:2002-08-18 发布日期:2002-08-18

BIFURCATIONS OF SUBHARMONIC SOLUTIONS IN PERIODIC PERTURBATION OF A HYPERBOLIC LIMIT CYCLE

HAN Mao-an, GU Sheng-shi   

  1. Department of Mathematics, Shanghai Jiaotong University, Shanghai 200030, P. R. China
  • Received:2000-11-25 Revised:2002-03-26 Online:2002-08-18 Published:2002-08-18

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摘要： Bifurcations of subharmonic solutions of order m of a planar periodic perturbed system near a hyperbolic limit cycle are discussed. By using a Poincaré 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.

Abstract: Bifurcations of subharmonic solutions of order m of a planar periodic perturbed system near a hyperbolic limit cycle are discussed. By using a Poincaré 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.

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