一类Z_2-等变扰动的三次哈密顿系统极限环的个数与分布(英文)

This paper is concerned with the number and distributions of limit cycles of a cubic Z2-symmetry Hamiltonian system under quintic perturbation.By using qualitative analysis of differential equation,bifurcation theory of dynamical systems and the method of detection function,we obtain that this system exists at least 14 limit cycles with the distribution C91  [C11 ＋ 2（C32 2C12）].