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Cluster formation in populations of coupled chaotic neurons

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  • Complex Networks and Synchronization
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Abstract

We investigate cluster formation in populations of coupled chaotic model neurons under homogeneous global coupling, and distance-dependent coupling, where the coupling weights between neurons depend on their relative distance. Three types of clusters emerge for global coupling: synchronized cluster, two state cluster and anti-phase cluster. In addition to these, we find a novel three state cluster for distance-dependent coupling, where the population splits into two synchronized groups and one incoherent group. Lastly, we study a system with random inhomogeneous coupling strengths, in order to discern if the special pattern found in distance-dependent coupling arises from the underlying lattice structure or from the inhomogeneity in coupling.

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Authors and Affiliations

  1. Institute of Mathematical Sciences, C.I.T. Campus, Tharamani, Chennai, 600113, India

    N. K. Kamal

  2. Indian Institute of Science Education and Research (IISER) Mohali, Knowledge City, SAS Nagar, Sector 81, Manauli, PO 140 306, Punjab, India

    S. Sinha

Authors
  1. N. K. Kamal
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  2. S. Sinha
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Correspondence to N. K. Kamal or S. Sinha.

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Kamal, N.K., Sinha, S. Cluster formation in populations of coupled chaotic neurons. Eur. Phys. J. Spec. Top. 222, 905–915 (2013). https://doi.org/10.1140/epjst/e2013-01893-0

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  • DOI: https://doi.org/10.1140/epjst/e2013-01893-0

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