<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

Publicado en línea: 16 jun 2023

Páginas: 2251 - 2260

Recibido: 31 jul 2022

Aceptado: 19 dic 2022

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

Palabras clave
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

Publicado en línea: 16 jun 2023

Páginas: 2251 - 2260

Recibido: 31 jul 2022

Aceptado: 19 dic 2022

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

Palabras claveAveraging 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.

Palabras clave
Averaging theory, zero–Hopf bifurcation, periodic orbits, hyperchaotic system, equilibrium