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Chimera-like states in a neuronal network model of the cat brain

Author

Listed:
  • Santos, M.S.
  • Szezech, J.D.
  • Borges, F.S.
  • Iarosz, K.C.
  • Caldas, I.L.
  • Batista, A.M.
  • Viana, R.L.
  • Kurths, J.

Abstract

Neuronal systems have been modelled by complex networks in different description levels. Recently, it has been verified that the networks can simultaneously exhibit one coherent and other incoherent domain, known as chimera states. In this work, we study the existence of chimera-like states in a network considering the connectivity matrix based on the cat cerebral cortex. The cerebral cortex of the cat can be separated in 65 cortical areas organised into the four cognitive regions: visual, auditory, somatosensory-motor and frontolimbic. We consider a network where the local dynamics is given by the Hindmarsh–Rose model. The Hindmarsh–Rose equations are a well known model of the neuronal activity that has been considered to simulate the membrane potential in neuron. Here, we analyse under which conditions chimera-like states are present, as well as the effects induced by intensity of coupling on them. We identify two different kinds of chimera-like states: spiking chimera-like state with desynchronised spikes, and bursting chimera-like state with desynchronised bursts. Moreover, we find that chimera-like states with desynchronised bursts are more robust to neuronal noise than with desynchronised spikes.

Suggested Citation

  • Santos, M.S. & Szezech, J.D. & Borges, F.S. & Iarosz, K.C. & Caldas, I.L. & Batista, A.M. & Viana, R.L. & Kurths, J., 2017. "Chimera-like states in a neuronal network model of the cat brain," Chaos, Solitons & Fractals, Elsevier, vol. 101(C), pages 86-91.
    • Handle: RePEc:eee:chsofr:v:101:y:2017:i:c:p:86-91
    DOI: 10.1016/j.chaos.2017.05.028
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    References listed on IDEAS

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    1. Jesús Gómez-Gardeñes & Gorka Zamora-López & Yamir Moreno & Alex Arenas, 2010. "From Modular to Centralized Organization of Synchronization in Functional Areas of the Cat Cerebral Cortex," PLOS ONE, Public Library of Science, vol. 5(8), pages 1-11, August.
    2. Robert A. Barton & Paul H. Harvey, 2000. "Mosaic evolution of brain structure in mammals," Nature, Nature, vol. 405(6790), pages 1055-1058, June.
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    Cited by:

    1. Rybalova, E.V. & Vadivasova, T.E. & Strelkova, G.I. & Zakharova, A., 2022. "Multiplexing noise induces synchronization in multilayer networks," Chaos, Solitons & Fractals, Elsevier, vol. 163(C).
    2. Ngueuteu Mbouna, S.G. & Banerjee, Tanmoy & Yamapi, René & Woafo, Paul, 2022. "Diverse chimera and symmetry-breaking patterns induced by fractional derivation effect in a network of Stuart-Landau oscillators," Chaos, Solitons & Fractals, Elsevier, vol. 157(C).
    3. Cabanas, A.M. & Vélez, J.A. & Pérez, L.M. & Díaz, P. & Clerc, M.G. & Laroze, D. & Malomed, B.A., 2021. "Dissipative structures in a parametrically driven dissipative lattice: Chimera, localized disorder, continuous-wave, and staggered states," Chaos, Solitons & Fractals, Elsevier, vol. 146(C).
    4. Marghoti, Gabriel & de Lima Prado, Thiago & Conte, Arturo Cagnato & Ferrari, Fabiano Alan Serafim & Lopes, Sergio Roberto, 2022. "Intermittent chimera-like and bi-stable synchronization states in network of distinct Izhikevich neurons," Chaos, Solitons & Fractals, Elsevier, vol. 162(C).

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