Double zero-Hopf bifurcation in a four-dimensional hyperchaotic system
Lima, Mauricio Firmino Silva (Universidade Federal do ABC. Centro de Matematica Computação e Cognição)
Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)

Date:	2025
Abstract:	The subject of this paper concerns with the bifurcation of limit cycles for a four-dimensional hyperchaotic system. This hyperchaotic system depends on five parameters and we restrict our study to the set of parameters where a double zero-Hopf bifurcation may occurs, that is, where an isolated equilibrium point has a double zero and a pair of purely imaginary eigenvalues. For doing this study, some adequate changes of parameters and coordinates must be done in order that the computations become easier. The main result is based on the averaging theory.
Grants:	Agencia Estatal de Investigación PID2022-136613NB-100 European Commission 777911 Generalitat de Catalunya 2021/SGR-00113
Note:	Altres ajuts: Real Acadèmia de Ciències i Arts de Barcelona
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Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Subject:	Hyperchaotic system ; Periodic orbit ; Limit cycle ; Hopf bifurcation ; Averaging equation
Published in:	Boletin de la Sociedad Matematica Mexicana, Vol. 31, Num. 3 (November 2025) , art. 142, ISSN 2296-4495

DOI: 10.1007/s40590-025-00819-4

Available from: 2026-11-30 Postprint 19 p, 391.5 KB

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Research literature > UAB research groups literature > Research Centres and Groups (research output) > Experimental sciences > GSD (Dynamical systems)
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