Bifurcation control of Fitzhugh-Nagumo models
نویسندگان
چکیده
منابع مشابه
Stability and Bifurcation Analysis of Coupled Fitzhugh-Nagumo Oscillators
Neurons are the central biological objects in understanding how the brain works. The famous Hodgkin-Huxley model, which describes how action potentials of a neuron are initiated and propagated, consists of four coupled nonlinear differential equations. Because these equations are difficult to deal with, there also exist several simplified models, of which many exhibit polynomial-like non-linear...
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We consider pulse and front solutions to a spatially discrete FitzHugh–Nagumo equation that contains terms to represent both depolarization and hyperpolarization of the nerve axon. We demonstrate a technique for deriving candidate solutions for the McKean nonlinearity and present and apply solvability conditions necessary for existence. Our equation contains both spatially continuous and discre...
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We investigate the problem of sparse optimal controls for the so-called Schlögl model and the FitzHugh-Nagumo system. In these reaction-diffusion equations, traveling wave fronts occur that can be controlled in different ways. The L-norm of the distributed control is included in the objective functional so that optimal controls exhibit effects of sparsity. We prove the differentiability of the ...
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ژورنال
عنوان ژورنال: Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi
سال: 2018
ISSN: 1308-6529
DOI: 10.19113/sdufbed.72020