Nagumo [2] introduced an electric-circuit representation of the FitzHugh [1] model, in which a three-segment parallel circuit is built from a capacitor C in one segment, in parallel with a tunnel diode (with an emf E0) in a second segment, and an LRsegment with a resistor R connected ...
Stability of the Travelling Wave Solution of the Fitzhugh-Nagumo System Travelling wave solutions for the FitzHugh-Nagumo equations have been proved to exist, by various authors, close to a certain singular limit of the equatio... CKRT Jones - 《Transactions of the American Mathematical Society》...
Estevez P G.The direct method and the singular manifold method for the Fitzhugh-Nagumo equation[J].Phys.Lett.A,1992,171:259-261.P. G. Esté,vez.The direct method and the singular manifold method for the Fitzhugh-Nagumo equation. Physics Letters . 1992...
fitzhughnagumomodellecturenullclineexcitable Lecture6TheFitzHugh-NagumoModel6.1TheNatureofExcitableCellModelsClassically,itwasknownthatthecellmembranecarriesapotentialacrosstheinnerandoutersurfaces,henceabasicmodelforacellmembraneisthatofacapacitorandresistorinparallel.ThemodelequationtakestheformCmdVdt=¡V¡VeqR+Iap...
I explicitly show that a statement made recently by Nucci and Clarkson in this journal on whether the non-classical method is more general than the direct method for the Fitzhugh-Nagumo equation can be completed using the Painlevé analysis. My conjecture is that the direct method combined with ...
Based on our results for coupled complex cubic-quintic Ginzburg-Landau equations as well as for the FitzHugh-Nagumo equation we conjecture that noise ... O Descalzi,J Cisternas,D Escaff,... - 《Physical Review Letters》 被引量: 32发表: 2009年 加载更多来源...
This application-oriented monograph presents a comprehensive theoretical and numerical investigation of all types of oscillators and bifurcations (such as Hopf, Bogdanov-Takens, Bautin, and homoclinic) generated by the FitzHugh-Nagumo model. The wide diversity of the oscillators as used in electrophysiolo...
Delayed differential equationsSlow–fast systemsMixed-mode oscillationsBurstingChaosMotivated by the dynamics of neuronal responses, we analyze the dynamics of the Fitzhugh-Nagumo slow-fast system with delayed self-coupling. This system provides a canonical example of a canard explosion for sufficiently ...
A mechanistic model of the Fitzhugh–Nagumo type is proposed for the pulse-like jasmonate response in plants. The model is composed of a bistable signaling pathway coupled to a negative feedback loop. The bistable signaling pathway describes a recently discovered positive feedback loop involving jasm...
The FitzHugh–Nagumo Model: Non-Linear Oscillations We use here the FitzHugh–Nagumo (FHN) model [49] in the following form V ′ = − h V 3 + a V 2 − w , (A14) w ′ = ϵ ( α V − λ − w ) , (A15) for the activation and inhibition variables V and w, ...