The zero-Hopf bifurcations of a new hyperchaotic system

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

ISSN: 2444-8656

Any de publicació: 2023

Volum: 8

Número: 2

Pàgines: 2251-2260

Tipus: Article

Altres publicacions en: Applied Mathematics and Nonlinear Sciences

Resum

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.