Browsing by Author "ABDALLH, AMMAR"
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Item CONTROL OF BIFURCATIONS IN COUPLED FITZHUGH-NAGUMO NEURONS(2022-02-28) ABDALLH, AMMAR; Doruk, Reşat ÖzgürA pair of identical Fitzhugh-Nagumo neuron models are coupled together through a gap junction (electrical synapse). These neurons are excited by external current. We have represented the system as an electrical circuit and the gap as synaptic conductance. The complete system is a nonlinear multi-input, multi-output (MIMO) type. By using bifurcation theory and the MATLAB based software package called MATCONT we tracked the neuron parameters that lead to bifurcation conditions. Actually, any change in the structure and the function of the synapse causes severe psychiatric and neurological disorders. So that, we studied the couple of the (F-N) model by selected different values of the synaptic conductance. For each value of the synaptic conductance we analyzed the bifurcations for the parameters of the neurons one-by-one using MATCONT. After that, we designed a controller to correct the defective in a neuron activity caused by the change in synaptic conductivity and the change in the neurons parameters. In this research, a washout filter controller of the second order type is used. This controller provides an electrical current injection to control the unwanted behavior of the neurons due to parametric bifurcations. Linear Quadratic Regulator (LQR) supported by projective control theory, serves as the reference method in the design of the controller.