The zero-Hopf bifurcations of a new hyperchaotic system

  1. Zouhair Diab
  2. M. Teresa de Bustos
  3. Miguel A. López
  4. Raquel Martínez
Journal:
Applied Mathematics and Nonlinear Sciences

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.