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THE POINCAR BIFURCATION IN CUBIC HAMILTONIAN SYSTEMS WITH HETEROCLINIC LOOP

THE POINCAR BIFURCATION IN CUBIC HAMILTONIAN SYSTEMS WITH HETEROCLINIC LOOP
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摘要 In this paper, we investigate the Poincar bifurcation in cubic Hamiltonian systems with heteroclinic loop, under small general cubic perturbations. We prove that the system has at most two limit cycles and has at least two limit cycles, respectively. In this paper, we investigate the Poincar bifurcation in cubic Hamiltonian systems with heteroclinic loop, under small general cubic perturbations. We prove that the system has at most two limit cycles and has at least two limit cycles, respectively.
出处 《Annals of Differential Equations》 2008年第4期477-483,共7页 微分方程年刊(英文版)
关键词 heteroclinic loop cubic Hamiltonian system Poincar bifurcation limit cycle heteroclinic loop cubic Hamiltonian system Poincar bifurcation limit cycle
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参考文献6

  • 1Fihtegolbd Γ.M.Differential and integral calculus[]..1956 被引量:1
  • 2V.I.Arnold.Geometrical Methods in the Theorry of Ordinary Differential Equations[].MR.1988 被引量:1
  • 3G S Petrov.Complex zeros of an elliptic integral, Funct[].Anal Appl.1987 被引量:1
  • 4S.N.Chow,C.Li,and D.Wang.Normal Forms and Bifurcation of Planar Vector Fields[]..1994 被引量:1
  • 5Freddy Dumortier and Chengzhi Li.Perturbations from an Elliptic Hamiltonian of Degree Four[].Journal of Differential Equations.2001 被引量:1
  • 6Zhang Z F,Li C Z,Zheng Z M,et al.The basis of bifurcation theory for vector Fields[]..1997 被引量:1

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