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SYNCHRONIZATION OF UNIDIRECTIONAL RING STRUCTURED IDENTICAL FITZHUGH-NAGUMO NETWORK UNDER IONIC AND EXTERNAL ELECTRICAL STIMULATIONS

  • Received : 2020.01.02
  • Accepted : 2020.07.27
  • Published : 2020.09.30

Abstract

Synchronization of unidirectional identical FitzHugh-Nagumo systems coupled in a ring structure under ionic and external electrical stimulations is investigated. In this network, each neuron is only connected and transmit signals to its next neuron via synaptic strength called gapjunctions. Adaptive control theory and Lyapunov stability theory are used to propose a unique control scheme with necessary and sufficient conditions which guarantee the synchronization of the neuronal network. Finally, the effectiveness of the proposed scheme is shown through numerical simulations.

Keywords

References

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