Macro- and micro-chaotic structures in the Hindmarsh-Rose model of bursting neurons-Reference-Cited by-同舟云学术

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Macro- and micro-chaotic structures in the Hindmarsh-Rose model of bursting neurons

Published:2014-06 Issue:2 Volume:24 Page:023128
ISSN:1054-1500
Container-title:Chaos: An Interdisciplinary Journal of Nonlinear Science
language:en
Short-container-title:Chaos

Author:

Barrio Roberto¹,Angeles Martínez M.²,Serrano Sergio¹,Shilnikov Andrey³⁴

Affiliation:

1. Computational Dynamics Group, Departamento de Matemática Aplicada, GME and IUMA, Universidad de Zaragoza, E-50009 Zaragoza, Spain

2. Computational Dynamics Group, GME, Universidad de Zaragoza, E-50009 Zaragoza, Spain

3. Neuroscience Institute and Department of Mathematics and Statistics, Georgia State University, Atlanta, Georgia 30078, USA

4. Department of Computational Mathematics and Cybernetics, Lobachevsky State University of Nizhni Novgorod, 603950 Nizhni Novgorod, Russia

Funder

RFFI

NSF

Spanish Research

MESRF

Publisher

AIP Publishing

Subject

Applied Mathematics,General Physics and Astronomy,Mathematical Physics,Statistical and Nonlinear Physics

Link

http://aip.scitation.org/doi/pdf/10.1063/1.4882171

Reference36 articles.

1. Neural Synchrony in Brain Disorders: Relevance for Cognitive Dysfunctions and Pathophysiology

2. A quantitative description of membrane current and its application to conduction and excitation in nerve

3. A model of neuronal bursting using three coupled first order differential equations

4. The Hindmarsh–Rose neuron model: Bifurcation analysis and piecewise-linear approximations

5. METHODS OF THE QUALITATIVE THEORY FOR THE HINDMARSH–ROSE MODEL: A CASE STUDY – A TUTORIAL

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