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| Global Bifurcation of a Perturbed Double-Homoclinic Loop |
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Citation： |
Desheng SHANG,Maoan HAN.Global Bifurcation of a Perturbed Double-Homoclinic Loop[J].Chinese Annals of Mathematics B,2006,27(4):425~436 |
| Page view： 1105
Net amount： 787 |
Authors： |
Desheng SHANG; Maoan HAN |
Foundation： |
Project supported by the National Natural Science Foundation of China (No.10371072), the New Century Excellent
Talents in University (No.NCET-04-038) and the Shanghai Leading Academic Discipline (No.T0401). |
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| Abstract： |
This paper deals with a kind of fourth degree systems with perturbations. By
using the method of multi-parameter perturbation theory and qualitative analysis, it is
proved that the system can have six limit cycles. |
Keywords： |
Perturbation, Bifurcation, Cubic system, Limit cycle, Hamiltonian system,
Homoclinic loop |
Classification： |
34C05, 34C07 |
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