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Erschienen in: Cognitive Neurodynamics 5/2016

01.10.2016 | Research Article

Noise effects on robust synchronization of a small pacemaker neuronal ensemble via nonlinear controller: electronic circuit design

verfasst von: Elie Bertrand Megam Ngouonkadi, Hilaire Bertrand Fotsin, Martial Kabong Nono, Patrick Herve Louodop Fotso

Erschienen in: Cognitive Neurodynamics | Ausgabe 5/2016

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Abstract

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.

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Metadaten
Titel
Noise effects on robust synchronization of a small pacemaker neuronal ensemble via nonlinear controller: electronic circuit design
verfasst von
Elie Bertrand Megam Ngouonkadi
Hilaire Bertrand Fotsin
Martial Kabong Nono
Patrick Herve Louodop Fotso
Publikationsdatum
01.10.2016
Verlag
Springer Netherlands
Erschienen in
Cognitive Neurodynamics / Ausgabe 5/2016
Print ISSN: 1871-4080
Elektronische ISSN: 1871-4099
DOI
https://doi.org/10.1007/s11571-016-9393-1

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