本文研究了一类具有两种类型非初等焦点的分段光滑Liénard系统,并通过应用一阶Melnikov函数的方法来获得这两种情况对应的Hopf分支中出现的极限环最大个数的下界.
In this paper, the authors suppose that a kind of planar piecewise smooth Li6nard systems have two kinds of non-elementary foci. By using the first order Melnikov function method, the authors obtain a lower bound of maximal number of limit cycles which appear in Hopf bifurcation for each case.