Volume 5, Issue 2 (Spring 2014 2014)                   BCN 2014, 5(2): 144-155 | Back to browse issues page

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Rahmani Mehdiabadi M R, Rouhani E, Mousavi Mashhadi S, Jalali A. Adaptive Fractional-order Control for Synchronization of Two Coupled Neurons in the External Electrical Stimulation. BCN. 2014; 5 (2) :144-155
URL: http://bcn.iums.ac.ir/article-1-414-en.html
1- Electrical Engineering Department, Iran University of Science and Technology, IUST, Tehran, Iran
2- Biomedical Engineering Department, Iran University of Science and Technology (IUST), Tehran, Iran
This paper addresses synchronizing two coupled chaotic FitzHugh–Nagumo (FHN) neurons with weakly gap junction under external electrical stimulation (EES). To transmit information among coupled neurons, by generalization of the integer-order FHN equations of the coupled system into the fractional-order in frequency domain using Crone approach, the behavior of each coupled neuron relies on its past behavior and the memorized system can be a better fit for the neuron response. An adaptive fractional-order controller Based on the Lyaponuv stability theory has been designed to synchronize two neurons electrically coupled with gap junction in EES. The proposed controller is also robust to the inevitable random noise such as disturbances of ionic channels. The simulation results demonstrate the effectiveness of the control scheme.
Type of Study: Original | Subject: Computational Neuroscience
Received: 2013/08/17 | Accepted: 2013/09/20 | Published: 2014/04/1

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