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The European Physical Journal Special Topics

, Volume 228, Issue 11, pp 2441–2454 | Cite as

Intralayer synchronization in neuronal multiplex network

  • Bidesh K. Bera
  • Sarbendu Rakshit
  • Dibakar GhoshEmail author
Regular Article
Part of the following topical collections:
  1. Diffusion Dynamics and Information Spreading in Multilayer Networks

Abstract

Synchronization phenomenon is one of the most fundamental properties in the field of neurosciences, and it plays a key role in several neuronal processes. In this paper, we report a neural synchrony in a multiplex neuronal network by simultaneously taking electrical and chemical synaptic interactions. Most of the previous studies on the neuronal synchrony have been focused on a mono-layer network by solely considering one type of neuronal communication, either electrical or chemical synaptic coupling. Here we consider the multiplex network where the connection within the layer (intralayer connection) and the layer–layer interaction (interlayer connection) links are associated with the electrical and chemical synapses respectively. The network topology in each layer is represented by the small-world network. We mainly explore intralayer synchronization in the multiplex network under the simultaneous effect of both synaptic interactions. Intralayer synchronization is a distinctive process that refered to coherence among the nodes within the layer irrespective of the coherence between the replica nodes. Through the master stability approach, we derive the necessary condition for the intralayer synchronization state and then we numerically confirm our analytical findings.

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Copyright information

© EDP Sciences, Springer-Verlag GmbH Germany, part of Springer Nature 2019

Authors and Affiliations

  1. 1.Department of MathematicsIndian Institute of Technology RoparRupnagarIndia
  2. 2.Physics and Applied Mathematics Unit, Indian Statistical InstituteKolkataIndia

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