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Effects of partial time delays on synchronization patterns in Izhikevich neuronal networks

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Abstract

Synchronization patterns have been observed in neuronal networks and are related to many cognitive functions and information processing and even some pathological brain states. In this paper, we study a ring network of non-locally coupled Izhikevich neurons with electrical synaptic coupling. Since it has been proved that time delays through gap junctions can simplify the synchronization, here we particularly investigate the effects of partial time delays on networks synchronization. By using two control parameters, the time delay and the probability of partial time delay, we show that partial time delays have a significant effect on the synchronization of this network. In particular, partial time delays can either increase or decrease the synchronization and also can induce synchronization transitions between coherent and incoherent states. Thus, partial time delays can cause chimera state, which is a special pattern when both synchronous and asynchronous states coexist and are strongly related to many real phenomena. Furthermore, partial time delays can change the period of synchronized neurons from period-1 to period-2 firing states that have different effects on information transmission in the brain.

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Authors and Affiliations

  1. Biomedical Engineering Department, Amirkabir University of Technology, Tehran, 15875-4413, Iran

    Mohadeseh Shafiei, Fatemeh Parastesh & Sajad Jafari

  2. School of Engineering, RMIT University, Melbourne, Australia

    Mahdi Jalili

  3. Faculty of Natural Sciences and Mathematics, University of Maribor, Koroška cesta 160, 2000, Maribor, Slovenia

    Matjaž Perc & Mitja Slavinec

  4. Complexity Science Hub Vienna, Josefstädterstraße 39, 1080, Vienna, Austria

    Matjaž Perc

Authors
  1. Mohadeseh Shafiei
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  2. Fatemeh Parastesh
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  3. Mahdi Jalili
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  4. Sajad Jafari
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  5. Matjaž Perc
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  6. Mitja Slavinec
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Corresponding author

Correspondence to Matjaž Perc.

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Shafiei, M., Parastesh, F., Jalili, M. et al. Effects of partial time delays on synchronization patterns in Izhikevich neuronal networks. Eur. Phys. J. B 92, 36 (2019). https://doi.org/10.1140/epjb/e2018-90638-x

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  • DOI: https://doi.org/10.1140/epjb/e2018-90638-x

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