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Synchronization of a coupled Hodgkin–Huxley neurons via high order sliding-mode feedback

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  • Aguilar-López, R.
  • Martínez-Guerra, R.

Abstract

This work deals with the synchronizations of two both coupled Hodgkin–Huxley (H–H) neurons, where the master neuron posses inner noise and the slave neuron is considered in a resting state, (without inner noise) and an exciting state (with inner noise). The synchronization procedure is done via a feedback control, considering a class of high order sliding-mode controller which provides chattering reduction and finite time synchronization convergence, with a satisfactory performance. Theoretical analysis is done in order to show the closed-loop stability of the proposed controller and the calculated finite time for convergence. The main results are illustrated via numerical experiments.

Suggested Citation

  • Aguilar-López, R. & Martínez-Guerra, R., 2008. "Synchronization of a coupled Hodgkin–Huxley neurons via high order sliding-mode feedback," Chaos, Solitons & Fractals, Elsevier, vol. 37(2), pages 539-546.
    • Handle: RePEc:eee:chsofr:v:37:y:2008:i:2:p:539-546
    DOI: 10.1016/j.chaos.2006.09.029
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