一类二次Hamilton系统在三次多项式扰动下的极限环

Limit Cycle of Quadratic Hamilton System under the Cubic Polynomial Perturbation

通过计算一类二次Hamilton系统的高阶Mel′nikov函数,对该系统在三次多项式扰动下分岔的极限环个数进行了估计。

By the method of calculating higher order Mel′nikov function of a class of Hamiltonian system,the author estimates the number of limit cycles which are bifurcated under the perturbation of cubic polynomials.