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Complete synchronization in coupled type-I neurons

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Abstract

For a system of type-I neurons bidirectionally coupled through a nonlinear feedback mechanism, we discuss the issue of noise-induced complete synchronization (CS). For the inputs to the neurons, we point out that the rate of change of instantaneous frequency with the instantaneous phase of the stochastic inputs to each neuron matches exactly with that for the other in the event of CS of their outputs. Our observation can be exploited in practical situations to produce completely synchronized outputs in artificial devices. For excitatory-excitatory synaptic coupling, a functional dependence for the synchronization error on coupling and noise strengths is obtained. Finally, we report a noise-induced CS between nonidentical neurons coupled bidirectionally through random nonzero couplings in an all-to-all way in a large neuronal ensemble.

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Authors and Affiliations

  1. Potsdam Institute for Climate Impact Research, Telegrafenberg, 14412, Potsdam, Germany

    Nishant Malik

  2. Advanced Centre for Research in High Energy Materials (ACRHEM), University of Hyderabad, Central University P.O., Gachi Bowli, Hyderabad, 500 046, India

    B. Ashok

  3. School of Physics, University of Hyderabad, Central University P.O., Gachi Bowli, Hyderabad, 500 046, India

    J. Balakrishnan

Authors
  1. Nishant Malik
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  2. B. Ashok
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  3. J. Balakrishnan
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Correspondence to J. Balakrishnan.

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Malik, N., Ashok, B. & Balakrishnan, J. Complete synchronization in coupled type-I neurons. Pramana - J Phys 74, 189–205 (2010). https://doi.org/10.1007/s12043-010-0020-0

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