The zero-Hopf bifurcations of a new hyperchaotic system
- Zouhair Diab
- M. Teresa de Bustos
- Miguel A. López
- Raquel Martínez
ISSN: 2444-8656
Year of publication: 2023
Volume: 8
Issue: 2
Pages: 2251-2260
Type: Article
More publications in: Applied Mathematics and Nonlinear Sciences
Abstract
The aim of this work is to study the existence of zero-Hopf bifurcations of a new hyperchaotic system, using the averaging theory of dynamical systems of second order. Furthermore, at most one periodic orbit can bifurcate from the origin of coordinates.