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Bifurcation control of Fitzhugh-Nagumo models

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dc.creator DORUK, Reşat Özgür
dc.creator IHNISH, Hamza
dc.date 2018-10-05T00:00:00Z
dc.date.accessioned 2019-07-09T12:00:14Z
dc.date.available 2019-07-09T12:00:14Z
dc.identifier http://dergipark.org.tr/sdufenbed/issue/39695/470079
dc.identifier
dc.identifier.uri http://acikerisim.sdu.edu.tr/xmlui/handle/123456789/46661
dc.description A theoretical bifurcation control strategy is presented for a single Fitzhugh-Nagumo (FN) type neuron. The bifurcation conditions are tracked for varying parameters of the individual FN neurons. A MATLAB package called as MATCONT is utilized for this purpose and all parameters of the neuron is analyzed one-by-one. Analysis by MATCONT 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 projective control theory. Washout filters are designed as first and second order. First order washout filter which is also physically applicable appeared to be more advantageous than the second order version. It appeared that, the LP case could not be stabilized by the aid of a washout filter. To solve this issue, a nonlinear controller is proposed. The only drawback associated with that is its inability to keep the original equilibrium point. Simulations are also provided to validate the research done.
dc.format application/pdf
dc.publisher Süleyman Demirel University
dc.publisher Süleyman Demirel Üniversitesi
dc.relation http://dergipark.org.tr/download/article-file/552984
dc.source Cilt: 22 Sayı: Özel 375-391 en-US
dc.source 1308-6529
dc.subject Fitzhugh-Nagumo neurons,Bifurcation; Washout filter; Projective control; Nonlinear control
dc.title Bifurcation control of Fitzhugh-Nagumo models en-US
dc.type info:eu-repo/semantics/article


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