Science in China Series A: Mathematics

, Volume 43, Issue 9, pp 914–928 | Cite as

On the number of limit cycles in double homoclinic bifurcations

  • Han Maoan 
  • Chen Jian 


LetL be a double homoclinic loop of a Hamiltonian system on the plane. We obtain a condition under whichL generates at most two large limit cycles by perturbations. We also give conditions for the existence of at most five or six limit cycles which appear nearL under perturbations.


homoclinic orbit bifurcation limit cycle 


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Copyright information

© Science in China Press 2000

Authors and Affiliations

  1. 1.Department of MathematicsShanghai Jiao Tong UniversityShanghaiChina

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