Paper Information

Journal:   BASIC AND CLINICAL NEUROSCIENCE   SPRING 2014 , Volume 5 , Number 2; Page(s) 144 To 155.
 
Paper: 

ADAPTIVE FRACTIONAL-ORDER CONTROL FOR SYNCHRONIZATION OF TWO COUPLED NEURONS IN THE EXTERNAL ELECTRICAL STIMULATION

 
Author(s):  RAHMANI MEHDIABADI M.R.*, ROUHANI E., MOUSAVI MASHHADI S.K., JALALI A.A.
 
* ELECTRICAL ENGINEERING DEPARTMENT, IRAN UNIVERSITY OF SCIENCE AND TECHNOLOGY (IUST), TEHRAN, IRAN
 
Abstract: 

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 was 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.

 
Keyword(s): FRACTIONAL-ORDER, SYNCHRONIZATION, NEURON MODEL, LYAPONUV FUNCTION
 
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