Hopf and zero-Hopf bifurcations in the Hindmarsh–Rose system

Claudio Buzzi; Jaume Llibre; João Medrado

doi:https://doi.org/10.1007/s11071-015-2429-y

Hopf and zero-Hopf bifurcations in the Hindmarsh–Rose system

Claudio Buzzi, Jaume Llibre, João Medrado

Department of Mathematics

Research output: Contribution to journal › Article › Research › peer-review

9 Citations (Scopus)

Abstract

© 2015, Springer Science+Business Media Dordrecht. 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 in parameters must be done in order that the computations become easier.

Original language	English
Pages (from-to)	1549-1556
Journal	Nonlinear Dynamics
Volume	83
Issue number	3
DOIs	https://doi.org/10.1007/s11071-015-2429-y
Publication status	Published - 1 Feb 2016

Keywords

Hindmarsh–Rose burster
Hopf bifurcation
Periodic solutions

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https://ddd.uab.cat/record/145309

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title = "Hopf and zero-Hopf bifurcations in the Hindmarsh–Rose system",

abstract = "{\textcopyright} 2015, Springer Science+Business Media Dordrecht. 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 in parameters must be done in order that the computations become easier.",

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author = "Claudio Buzzi and Jaume Llibre and Jo{\~a}o Medrado",

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T1 - Hopf and zero-Hopf bifurcations in the Hindmarsh–Rose system

AU - Buzzi, Claudio

AU - Llibre, Jaume

AU - Medrado, João

PY - 2016/2/1

Y1 - 2016/2/1

N2 - © 2015, Springer Science+Business Media Dordrecht. 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 in parameters must be done in order that the computations become easier.

AB - © 2015, Springer Science+Business Media Dordrecht. 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 in parameters must be done in order that the computations become easier.

KW - Hindmarsh–Rose burster

KW - Hopf bifurcation

KW - Periodic solutions

U2 - https://doi.org/10.1007/s11071-015-2429-y

DO - https://doi.org/10.1007/s11071-015-2429-y

M3 - Article

VL - 83

SP - 1549

EP - 1556

JO - Nonlinear Dynamics

JF - Nonlinear Dynamics

SN - 0924-090X

IS - 3

ER -

Hopf and zero-Hopf bifurcations in the Hindmarsh–Rose system

Abstract

Keywords

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