Acta mathematica scientia,Series A ›› 2015, Vol. 35 ›› Issue (1): 83-96.

• Articles • Previous Articles     Next Articles

Global Bifurcation of A Symmetric Cubic System

 SHANG De-Sheng, ZHANG Yao-Ming   

  1. School of Science, Shandong University of Technology,
    Shandong Zibo 255049
  • Received:2013-06-08 Revised:2014-05-06 Online:2015-02-25 Published:2015-02-25

Abstract:

The number of limit cycles of a  class of symmetric cubic near-Hamiltonian system under symmetric non-smooth perturbations are investigated in this paper.  At least 19 limit cycles are found in this class of perturbed non-smooth cubic system by using the method of  multi-parameter perturbation theory and qualitative analysis.

Key words: Perturbation, Non-smooth cubic system, Homoclinic loop, Limit cycle

CLC Number: 

  • 34C05
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