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

• Articles • Previous Articles     Next Articles

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

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.

2010 MSC Number: 

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