THE GLOBAL BIFURCATION OF A KIND OF CUBIC SYSTEM
In this paper, we study the homoclinic and double-homoclinic perturbation of a kind of cubic system. By using the method of multi-parameter perturbation theory and qualitative analysis, we obtain that the system can have 5 limit cycles and gave the distributions of the system.
perturbation, bifurcation, cubic system, limit cycle, homoclinic loop.