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Article Fitzhugh-Nagumo Modelleri için Çatallanma Denetimi(2018) Doruk, Reşat Özgür; Ihnısh, HamzaA theoretical bifurcation control strategy is presented for a single Fitzhugh-Nagumo (FN) type neuron. The bifurcation conditions are tracked for varying parametersof the individual FN neurons. A MATLAB package called as MATCONT is utilizedfor this purpose and all parameters of the neuron is analyzed one-by-one. Analysis byMATCONT revealed five Hopf (H) and one Limit-Point/Saddle Point (LP) bifurcation.The Hopf type of bifurcations are controlled by a washout filter supported by projectivecontrol theory. Washout filters are designed as first and second order. First order washoutfilter which is also physically applicable appeared to be more advantageous than thesecond order version. It appeared that, the LP case could not be stabilized by the aid of awashout filter. To solve this issue, a nonlinear controller is proposed. The only drawbackassociated with that is its inability to keep the original equilibrium point. Simulations arealso provided to validate the research done.
