The Limit Cycles of the Higgins–Selkov Systems

In this paper, we investigate the problem of limit cycles for general Higgins–Selkov systems with degree $$n+1$$ . particular, first prove uniqueness a Liénard system, which allows discontinuity. Then, by changing into systems, theorems and some techniques can be applied. After, nonexistence if bifurcation parameter is outside an open interval. Finally, complete analysis showing its uniqueness.