Limit cycles bifurcating from a zero-Hopf equilibrium of a 3-dimensional continuous differential system
In this paper, necessary and sufficient conditions for the existence of two or one limit cycles bifurcating from a zero-Hopf equilibrium of a 3-dimensional Lypschizian differential systems are provided. The authors prove that these limit cycles persist when the differential system has no equilibria. Additionally, they provide an estimation of the size of the bifurcating small limit cycles and characterize their kind of stability or instability.
scientific article; zbMATH DE number 7375696