一类非光滑Lienard系统的极限环研究

Study of limit cycles for some non-smooth Lienard systems

利用代数方法研究了平面非光滑Lienard系统的Hopf环性数,首先给出了焦点量计算的新公式,然后在此基础上讨论了一类非光滑Lienard系统的Hopf环性数,所得结论改进了已知结果.

Algebraic method was used to study the Hopf cyclicity of non-smooth Lienard systems on the plain.Some new formulas for computing focus values were presented.Based on the formulas,the number of limit cycles bifurcating from some non-smooth Lienard systems was obtained.The results improve the known results.