Bistability in Hindmarsh-Rose oscillators induced by asymmetric electrical coupling

Jaimes-Reátegui, Rider and García Vellisca, Mariano Alberto and Pisarchik, Alexander N. and Pozo Guerrero, Francisco del (2017). Bistability in Hindmarsh-Rose oscillators induced by asymmetric electrical coupling. "Cybernetics and Physics", v. 6 (n. 3); pp. 126-130. ISSN 2226-4116.

Description

Title: Bistability in Hindmarsh-Rose oscillators induced by asymmetric electrical coupling
Author/s:
  • Jaimes-Reátegui, Rider
  • García Vellisca, Mariano Alberto
  • Pisarchik, Alexander N.
  • Pozo Guerrero, Francisco del
Item Type: Article
Título de Revista/Publicación: Cybernetics and Physics
Date: 2017
ISSN: 2226-4116
Volume: 6
Subjects:
Freetext Keywords: Neuron; nonlinear dynamics; bistability; chaos
Faculty: E.T.S.I. Telecomunicación (UPM)
Department: Tecnología Fotónica y Bioingeniería
Creative Commons Licenses: Recognition - No derivative works - Non commercial

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Abstract

In this paper, we are interested in the question of how bistability can appear in coupled neurons. Concrete motivation for such a general problem is the search for a way to destroy an organism having a stable dynamics by destabilizing its metabolism. To address this issue, we consider the model of a pair of neuron cells coupled via an electrical synapse. We focus on the HindmarshRose model which provides a simple description of the patterned activity observed in molluscan neurons. The results of numerical simulations show that asymmetric electrical coupling between periodically spiking neural oscillators results in bistability in this system. One of the coexisting attractors is a limit cycle similar to the attractor of the uncoupled neuron, while the other one can be either a chaotic or a periodic orbit depending on the coupling strengths. Bistability is only observed for relatively small couplings. When the coupling is sufficiently strong, the neurons are in a monostable periodic regime, similar to the spiking regime observed in the uncoupled neurons.

Funding Projects

TypeCodeAcronymLeaderTitle
Government of SpainSAF2016-80240UnspecifiedUniversidad Politécnica de MadridDesarrollo de nuevos métodos del estudio experimental y control de procesos estocásticos en el cerebro humano durante percepción visual

More information

Item ID: 50256
DC Identifier: http://oa.upm.es/50256/
OAI Identifier: oai:oa.upm.es:50256
Official URL: http://lib.physcon.ru/doc?id=2156da34af8a
Deposited by: Memoria Investigacion
Deposited on: 25 Sep 2018 15:19
Last Modified: 25 Mar 2019 14:42
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