1. Zero–Hopf bifurcations in Yu–Wang type systems.
- Author
-
Bengochea, Abimael, Garcia-Chung, Angel, and Pérez-Chavela, Ernesto
- Subjects
LIMIT cycles ,DIFFERENTIAL equations ,COMPUTER simulation ,GENERALIZATION ,EQUILIBRIUM ,CONTINUATION methods - Abstract
In this paper, we study a three-dimensional system of differential equations which is a generalization of the system introduced by Yu and Wang (Eng Technol Appl Sci Res 3:352–358, 2013), a continuation of the study of chaotic attractors [see Yu and Wang (Eng Tech Appl Sci Res 2:209–215, 2012)]. We show that these systems admit a zero-Hopf non-isolated equilibrium point at the origin and prove the existence of a limit cycle emanating from it. We illustrate our results with some numerical simulations. [ABSTRACT FROM AUTHOR]
- Published
- 2022
- Full Text
- View/download PDF