Global bifurcation studies of a cubic Liénard system
A cubic Liénard system is an important polynomial system. It has attracted the attention of many scholars. For example, the first author of this paper has given a series of papers on the global parameters of the system. In this paper, the three-parameter family of cubic Liénard systems is investigated when the leading coefficient of the restoring is negative. The results show that saddle-node bifurcations, pitchfork bifurcations, Hopf bifurcations, homoclinic bifurcations, and heteroclinic bifurcations will occur by using global analysis. The global bifurcation diagram with global phase portraits depicted in Poincaré disks is given.
scientific article; zbMATH DE number 7316428
scientific article