讨论一类Bogdanov-Takens系统的五阶退化三次扰动,通过综合考虑Poincaré分支、同宿分支和Hopf分支,证明极限环个数的上界是3.
In this paper, a five-order degenerated cubic perturbation of Bogdanov-Takens System is discussed. Considering the Poincaré bifurcation, homoclinic bifurcation, and Hopf bifurcation, the authors concluded that the system has at most three limit cycles.