Hopf and zero-Hopf bifurcations on the Hindmarsh-Rose system
Buzzi, Claudio (Ibilce - UNESP (Brasil). Departamento de Matemática)
Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Medrado, Joao Carlos (IME-UFG (Brazil). Instituto de Matemática e Estatística)

Date:	2015
Abstract:	We prove the existence of the classical Hopf bifurcation and of the zero--Hopf bifurcation in the Hindmarsh-Rose system. For doing this some adequate change of parameters must be done in order that the computations become easier.
Grants:	Ministerio de Economía y Competitividad MTM2013-40998-P Agència de Gestió d'Ajuts Universitaris i de Recerca 2014/SGR-568 European Commission 316338 European Commission 318999
Note:	Agraïments: The first author is partially supported by FAPESP Grant 2013/2454-1, CAPES Grant 88881.068462/2014-01 and EU Marie-Curie IRSES Brazilian-European partnership in Dyn. Systems (FP7-PEOPLE-2012-IRSES 318999 BREUDS).
Note:	Agraïments: The second author is partially supported CAPES Grant Number 88881. 030454/2013-01 from the program CSF-PVE.
Note:	Agraïments: The third author is partially supported by the FAPEG, by the CNPq Grants Numbers 475623/2013-4 and 306615/2012-6 and, by the CAPES Grant Numbers PROCAD 88881.068462/2014-01 and by CSF/PVE-88881.030454/2013-01.
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Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Subject:	Hindmarsh-Rose burster ; Hopf bifurcation ; Periodic solutions
Published in:	Nonlinear dynamics, 2015, p. 1-8, ISSN 0924-090X

DOI: 10.1007/s11071-015-2429-y

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