The zero-Hopf bifurcations of a new hyperchaotic system

Diab Zouhair; Teresa de Bustos M.; López Miguel A.; Martínez Raquel

doi:10.2478/amns.2023.1.00409

Applied Mathematics and Nonlinear Sciences (Jul 2023)

The zero-Hopf bifurcations of a new hyperchaotic system

Diab Zouhair,
Teresa de Bustos M.,
López Miguel A.,
Martínez Raquel

Affiliations

Diab Zouhair: 1Department of Mathematics and Computer Science, Larbi Tebessi University, 12002Tebessa, Algeria
Teresa de Bustos M.: 2Department of Applied Mathematics, University of Salamanca, Casas del Parque, 2, 37008-Salamanca, Spain
López Miguel A.: 3SIDIS Research Group, Department of Mathematics, Institute of Applied Mathematics in Science and Engineering (IMACI), Polytechnic School of Cuenca, University of Castilla-La Mancha, 16071Cuenca, Spain
Martínez Raquel: 3SIDIS Research Group, Department of Mathematics, Institute of Applied Mathematics in Science and Engineering (IMACI), Polytechnic School of Cuenca, University of Castilla-La Mancha, 16071Cuenca, Spain

DOI: https://doi.org/10.2478/amns.2023.1.00409
Journal volume & issue: Vol. 8, no. 2
pp. 2251 – 2260

Abstract

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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.

Published in Applied Mathematics and Nonlinear Sciences

ISSN: 2444-8656 (Online)
Publisher: Sciendo
Country of publisher: Poland
LCC subjects: Science: Mathematics
Website: https://sciendo.com/journal/AMNS

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Abstract

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