نتایج جستجو برای: nagumo model

تعداد نتایج: 2104731  

Journal: :Scholarpedia 2006

Journal: :iranian journal of chemistry and chemical engineering (ijcce) 2011
yazdan asgari mehrdad ghaemi mohammad ghasem mahjani

fitzhugh-nagumo (fhn) model is a famous reaction-diffusion system which first introduced for the conduction of electrical impulses along a nerve fiber. this model is also considered as an abstract model for pattern formation. here, we have used the cellular automata method to simulate the pattern formation of the fhn model. it is shown that the pattern of this model is very similar to those of ...

Journal: :Kybernetika 2011
Yuan Jiang Jiyang Dai

This paper treats the question of robust control of chaos in modified FitzHugh–Nagumo neuron model under external electrical stimulation based on internal model principle. We first present the solution of the global robust output regulation problem for output feedback system with nonlinear exosystem. Then we show that the robust control problem for the modified FitzHugh–Nagumo neuron model can ...

Journal: :SIAM Journal of Applied Mathematics 2005
Christopher E. Elmer Erik S. Van Vleck

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...

Journal: :Electronics and Electrical Engineering 2012

Journal: :Computers & Mathematics with Applications 2015

2012
M. De Angelis P. Renno

The initial value problem P 0 , in all of the space, for the spatio-temporal FitzHugh-Nagumo equations is analyzed. When the reaction kinetics of the model can be outlined by means of piecewise linear approximations, then the solution of P 0 is explicitly obtained. For periodic initial data are possible damped travelling waves and their speed of propagation is evaluated. The results imply appli...

Journal: :SIAM J. Applied Dynamical Systems 2012
Alessio Franci Guillaume Drion Rodolphe Sepulchre

The paper studies the excitability properties of a generalized FitzHugh-Nagumo model. The model differs from the purely competitive FitzHugh-Nagumo model in that it accounts for the effect of cooperative gating variables such as activation of calcium currents. Excitability is explored by unfolding a pitchfork bifurcation that is shown to organize five different types of excitability. In additio...

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