Noise effects on robust synchronization of a small pacemaker neuronal ensemble via nonlinear controller: electronic circuit design.
In this paper, we report on the synchronization of a pacemaker neuronal ensemble constituted of an AB neuron electrically coupled to two PD neurons. By the virtue of this electrical coupling, they can fire synchronous bursts of action potential. An external master neuron is used to induce to the whole system the desired dynamics, via a nonlinear controller. Such controller is obtained by a combination of sliding mode and feedback control. The proposed controller is able to offset uncertainties in the synchronized systems. We show how noise affects the synchronization of the pacemaker neuronal ensemble, and briefly discuss its potential benefits in our synchronization scheme. An extended Hindmarsh-Rose neuronal model is used to represent a single cell dynamic of the network. Numerical simulations and Pspice implementation of the synchronization scheme are presented. We found that, the proposed controller reduces the stochastic resonance of the network when its gain increases.
Laboratory of Electronics and Signal Processing, Department of Physics, Faculty of Sciences, University of Dschang, P. O. Box 067, Dschang, Cameroon.
Elie Bertrand
EB
Megam Ngouonkadi
Laboratory of Electronics and Signal Processing, Department of Physics, Faculty of Sciences, University of Dschang, P. O. Box 067, Dschang, Cameroon.
Hilaire Bertrand
HB
Fotsin
Laboratory of Electronics and Signal Processing, Department of Physics, Faculty of Sciences, University of Dschang, P. O. Box 067, Dschang, Cameroon.
Martial
M
Kabong Nono
Laboratory of Electronics and Signal Processing, Department of Physics, Faculty of Sciences, University of Dschang, P. O. Box 067, Dschang, Cameroon.|Instituto de Física Teórica, Universidade Estadual Paulista, UNESP, Rua Dr. Bento Teobaldo Ferraz 271, Bloco II, Barra Funda, São Paulo, 01140-070 Brazil.
Patrick Herve
PH
Louodop Fotso
Feedback control; Noise; Pacemaker neuronal ensemble; Pspice simulation; Sliding mode; Synchronization
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