Chimera states in networks of nonlocally coupled hindmarsh-rose neuron models

Johanne Hizanidis, Vasileios G. Kanas, Anastasios Bezerianos, Tassos Bountis

Research output: Contribution to journalArticle

Abstract

We have identified the occurrence of chimera states for various coupling schemes in networks of two-dimensional and three-dimensional Hindmarsh-Rose oscillators, which represent realistic models of neuronal ensembles. This result, together with recent studies on multiple chimera states in nonlocally coupled FitzHugh-Nagumo oscillators, provide strong evidence that the phenomenon of chimeras may indeed be relevant in neuroscience applications. Moreover, our work verifies the existence of chimera states in coupled bistable elements, whereas to date chimeras were known to arise in models possessing a single stable limit cycle. Finally, we have identified an interesting class of mixed oscillatory states, in which desynchronized neurons are uniformly interspersed among the remaining ones that are either stationary or oscillate in synchronized motion.

Original languageEnglish (US)
Article number1450030
JournalInternational Journal of Bifurcation and Chaos in Applied Sciences and Engineering
Volume24
Issue number3
DOIs
StatePublished - 2014
Externally publishedYes

Fingerprint

Neuron Model
Neurons
FitzHugh-Nagumo
Neuroscience
Limit Cycle
Neuron
Ensemble
Verify
Three-dimensional
Motion
Model
Evidence
Class

Keywords

  • bistability
  • Chimera states
  • Hindmarsh-Rose models
  • synchronization

ASJC Scopus subject areas

  • Applied Mathematics
  • General
  • Engineering(all)
  • Modeling and Simulation

Cite this

Chimera states in networks of nonlocally coupled hindmarsh-rose neuron models. / Hizanidis, Johanne; Kanas, Vasileios G.; Bezerianos, Anastasios; Bountis, Tassos.

In: International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, Vol. 24, No. 3, 1450030, 2014.

Research output: Contribution to journalArticle

Hizanidis, Johanne ; Kanas, Vasileios G. ; Bezerianos, Anastasios ; Bountis, Tassos. / Chimera states in networks of nonlocally coupled hindmarsh-rose neuron models. In: International Journal of Bifurcation and Chaos in Applied Sciences and Engineering. 2014 ; Vol. 24, No. 3.
@article{411ebf33ab1144aeb9e64e48bdad0bbd,
title = "Chimera states in networks of nonlocally coupled hindmarsh-rose neuron models",
abstract = "We have identified the occurrence of chimera states for various coupling schemes in networks of two-dimensional and three-dimensional Hindmarsh-Rose oscillators, which represent realistic models of neuronal ensembles. This result, together with recent studies on multiple chimera states in nonlocally coupled FitzHugh-Nagumo oscillators, provide strong evidence that the phenomenon of chimeras may indeed be relevant in neuroscience applications. Moreover, our work verifies the existence of chimera states in coupled bistable elements, whereas to date chimeras were known to arise in models possessing a single stable limit cycle. Finally, we have identified an interesting class of mixed oscillatory states, in which desynchronized neurons are uniformly interspersed among the remaining ones that are either stationary or oscillate in synchronized motion.",
keywords = "bistability, Chimera states, Hindmarsh-Rose models, synchronization",
author = "Johanne Hizanidis and Kanas, {Vasileios G.} and Anastasios Bezerianos and Tassos Bountis",
year = "2014",
doi = "10.1142/S0218127414500308",
language = "English (US)",
volume = "24",
journal = "International Journal of Bifurcation and Chaos in Applied Sciences and Engineering",
issn = "0218-1274",
publisher = "World Scientific Publishing Co. Pte Ltd",
number = "3",

}

TY - JOUR

T1 - Chimera states in networks of nonlocally coupled hindmarsh-rose neuron models

AU - Hizanidis, Johanne

AU - Kanas, Vasileios G.

AU - Bezerianos, Anastasios

AU - Bountis, Tassos

PY - 2014

Y1 - 2014

N2 - We have identified the occurrence of chimera states for various coupling schemes in networks of two-dimensional and three-dimensional Hindmarsh-Rose oscillators, which represent realistic models of neuronal ensembles. This result, together with recent studies on multiple chimera states in nonlocally coupled FitzHugh-Nagumo oscillators, provide strong evidence that the phenomenon of chimeras may indeed be relevant in neuroscience applications. Moreover, our work verifies the existence of chimera states in coupled bistable elements, whereas to date chimeras were known to arise in models possessing a single stable limit cycle. Finally, we have identified an interesting class of mixed oscillatory states, in which desynchronized neurons are uniformly interspersed among the remaining ones that are either stationary or oscillate in synchronized motion.

AB - We have identified the occurrence of chimera states for various coupling schemes in networks of two-dimensional and three-dimensional Hindmarsh-Rose oscillators, which represent realistic models of neuronal ensembles. This result, together with recent studies on multiple chimera states in nonlocally coupled FitzHugh-Nagumo oscillators, provide strong evidence that the phenomenon of chimeras may indeed be relevant in neuroscience applications. Moreover, our work verifies the existence of chimera states in coupled bistable elements, whereas to date chimeras were known to arise in models possessing a single stable limit cycle. Finally, we have identified an interesting class of mixed oscillatory states, in which desynchronized neurons are uniformly interspersed among the remaining ones that are either stationary or oscillate in synchronized motion.

KW - bistability

KW - Chimera states

KW - Hindmarsh-Rose models

KW - synchronization

UR - http://www.scopus.com/inward/record.url?scp=84896923729&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84896923729&partnerID=8YFLogxK

U2 - 10.1142/S0218127414500308

DO - 10.1142/S0218127414500308

M3 - Article

AN - SCOPUS:84896923729

VL - 24

JO - International Journal of Bifurcation and Chaos in Applied Sciences and Engineering

JF - International Journal of Bifurcation and Chaos in Applied Sciences and Engineering

SN - 0218-1274

IS - 3

M1 - 1450030

ER -