<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>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.</p>
</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.

The zero-Hopf bifurcations of a new hyperchaotic system

Department of Mathematics and Computer Science

SIDIS Research Group, Department of Mathematics, Institute of Applied Mathematics in Science and Engineering (IMACI), Polytechnic School of Cuenca

Applied Mathematics and Nonlinear Sciences

This work is licensed under the Creative Commons Attribution 4.0 International License.

{"article-title":"The zero-Hopf bifurcations of a new hyperchaotic system"}

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...

The zero-Hopf bifurcations of a new hyperchaotic system

Publié en ligne: 16 juin 2023

Pages: 2251 - 2260

Reçu: 31 juil. 2022

Accepté: 19 déc. 2022

DOI: https://doi.org/10.2478/amns.2023.1.00409

Mots clés
Averaging theory, zero–Hopf bifurcation, periodic orbits, hyperchaotic system, equilibrium

© 2023 Zouhair Diab et al., published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

The zero-Hopf bifurcations of a new hyperchaotic system

Publié en ligne: 16 juin 2023

Pages: 2251 - 2260

Reçu: 31 juil. 2022

Accepté: 19 déc. 2022

DOI: https://doi.org/10.2478/amns.2023.1.00409

Mots clésAveraging theory, zero–Hopf bifurcation, periodic orbits, hyperchaotic system, equilibrium

© 2023 Zouhair Diab et al., published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Mots clés
Averaging theory, zero–Hopf bifurcation, periodic orbits, hyperchaotic system, equilibrium