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Chimera states in a ring of map-based neurons

Author

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  • Khaleghi, Leyla
  • Panahi, Shirin
  • Chowdhury, Sayantan Nag
  • Bogomolov, Sergey
  • Ghosh, Dibakar
  • Jafari, Sajad

Abstract

Chimera state is a simultaneous combination of synchronous and asynchronous environments in a network of identical oscillators, attracts the attention of researchers in the different fields of science. Neuroscientists believe that existing both the synchronous and asynchronous behavior in the brain plays a vital role in brain neuronal activity. As a result, in this paper, we investigate the ability of a neural network to produce chimera. Our focus has been on using a discrete neuronal model which resolve the curse of dimensionality by retraining the complex behavior at the same time. Each neuron is coupled to its neighboring with limited scope. The interdependency of the spatiotemporal dynamic on the coupling strength in a fixed range made the switching process visible, which rises with the appearance of thin bands of incoherence, occupying the whole space ultimately.

Suggested Citation

  • Khaleghi, Leyla & Panahi, Shirin & Chowdhury, Sayantan Nag & Bogomolov, Sergey & Ghosh, Dibakar & Jafari, Sajad, 2019. "Chimera states in a ring of map-based neurons," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 536(C).
    • Handle: RePEc:eee:phsmap:v:536:y:2019:i:c:s0378437119314840
    DOI: 10.1016/j.physa.2019.122596
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    References listed on IDEAS

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    1. Mohadeseh Shafiei & Fatemeh Parastesh & Mahdi Jalili & Sajad Jafari & Matjaž Perc & Mitja Slavinec, 2019. "Effects of partial time delays on synchronization patterns in Izhikevich neuronal networks," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 92(2), pages 1-7, February.
    2. Alexander zur Bonsen & Iryna Omelchenko & Anna Zakharova & Eckehard Schöll, 2018. "Chimera states in networks of logistic maps with hierarchical connectivities," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 91(4), pages 1-12, April.
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    Cited by:

    1. Muni, Sishu Shankar & Rajagopal, Karthikeyan & Karthikeyan, Anitha & Arun, Sundaram, 2022. "Discrete hybrid Izhikevich neuron model: Nodal and network behaviours considering electromagnetic flux coupling," Chaos, Solitons & Fractals, Elsevier, vol. 155(C).
    2. Zandi-Mehran, Nazanin & Panahi, Shirin & Hosseini, Zahra & Hashemi Golpayegani, Seyed Mohammad Reza & Jafari, Sajad, 2020. "One dimensional map-based neuron model: A phase space interpretation," Chaos, Solitons & Fractals, Elsevier, vol. 132(C).

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    Keywords

    Chimera; Neural networks; Chaos;
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