In this paper, we study Poincaré bifurcation of a class of piecewise polynomial systems, whose unperturbed system has a period annulus together with two invariant lines. The main concerns are the number of zeros of the first order Melnikov function and the estimation of the number of limit cycles which bifurcate from the period annulus under piecewise polynomial perturbations of degree n.

中文翻译：

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一类扰动分段多项式系统的极限环数

在本文中，我们研究了一类分段多项式系统的庞加莱分岔，其未扰动系统具有周期环和两条不变线。主要关注的是一阶 Melnikov 函数的零点数和在分段多项式度数扰动下从周期环分叉的极限环数的估计n.