Bifurcation Control of in Morris-Lecar Neuron Model via Washout Filter with a Linear Term Based on Filter-Aided Dynamic Feedback

Hai Long Duan; Cheng Kun Cui; Chun Xiao Han; Yan Qiu Che

doi:10.4028/www.scientific.net/AMR.485.600

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Bifurcation Control of in Morris-Lecar Neuron Model via Washout Filter with a Linear Term Based on Filter-Aided Dynamic Feedback

Abstract:

In this paper, based on Routh-Hurwitz stability criterion, the linear control term of washout filter-aided dynamic feedback controller is added to the Morris-Lecar (ML) system to stabilize the bifurcation. We deduce the linear control parameters according to the stability criterion, and the simulation results indicate that the controller is effective to stabilize ML model. In addition, electrical stimulation is selected as an output of the controller, thus it may provide theoretical guidance for clinical diagnosis and therapy of dynamical diseases.