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The zero-Hopf bifurcations of a new hyperchaotic system

Zouhair Diab

Zouhair Diab

Department of Mathematics and Computer Science, Larbi Tebessi UniversityTebessa, Algeria
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Diab, Zouhair
, 
M. Teresa de Bustos

M. Teresa de Bustos

Department of Applied Mathematics, University of SalamancaSpain
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Teresa de Bustos, M.
, 
Miguel A. López

Miguel A. López

SIDIS Research Group, Department of Mathematics, Institute of Applied Mathematics in Science and Engineering (IMACI), Polytechnic School of Cuenca, University of Castilla-La ManchaCuenca, Spain
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López, Miguel A.
 and 
Raquel Martínez

Raquel Martínez

SIDIS Research Group, Department of Mathematics, Institute of Applied Mathematics in Science and Engineering (IMACI), Polytechnic School of Cuenca, University of Castilla-La ManchaCuenca, Spain
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Martínez, Raquel
  
Jun 16, 2023
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Published Online: Jun 16, 2023
Page range: 2251 - 2260
Received: Jul 31, 2022
Accepted: Dec 19, 2022
DOI: https://doi.org/10.2478/amns.2023.1.00409
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© 2023 Zouhair Diab et al., published by Sciendo
This work is licensed under the Creative Commons Attribution 4.0 International License.

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.

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Life Sciences, Life Sciences, other, Mathematics, Applied Mathematics, General Mathematics, Physics, Physics, other
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