نتایج جستجو برای: FitzHugh-Nagumo Model

تعداد نتایج: 2104786  

Journal: :Scholarpedia 2006

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: :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: :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: :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...

Journal: :Simula SpringerBriefs on computing 2023

Abstract We will introduce numerical methods for systems of ODEs by considering the celebrated FitzHugh-Nagumo model published FitzHugh [1] in 1961 and, independently, Nagumo et. al. [2] 1962. The is a system ordinary differential equations with two unknowns, and commonly used as simple action potentials excitable pacemaker cells.

2013
Ranjeetha Bharath Jean-Jacques Slotine

This work explores four nonlinear classical models of neural oscillators, the HodgkinHuxley model, the Fitzhugh-Nagumo model, the Morris-Lecar model, and the Hindmarsh-Rose model. Nonlinear contraction theory is used to develop observers and perform synchronization analysis on these systems. Neural oscillation and signaling models are based on the biological function of the neuron, with behavio...

2013
Changjin Xu Peiluan Li

In this paper, a FitzHugh-Nagumo model with time delays is investigated. The linear stability of the equilibrium and the existence of Hopf bifurcation with delay τ is investigated. By applying Nyquist criterion, the length of delay is estimated for which stability continues to hold. Numerical simulations for justifying the theoretical results are illustrated. Finally, main conclusions are given...

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