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Delayed Oscillation Phenomena in the FitzHugh Nagumo Equation

✍ Scribed by J.Z. Su

Publisher
Elsevier Science
Year
1993
Tongue
English
Weight
1020 KB
Volume
105
Category
Article
ISSN
0022-0396

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📜 SIMILAR VOLUMES

On Delayed Oscillation in Nonspatially U
On Delayed Oscillation in Nonspatially Uniform Fitzhugh Nagumo Equation
✍ J.Z. Su 📂 Article 📅 1994 🏛 Elsevier Science 🌐 English ⚖ 474 KB

We study the problem of the slow passage through a Hopf bifurcation point for the FitzHugh Nagumo equation (FHN) \[ \begin{aligned} & v_{t}=D v_{x x}-f(v)-w+\phi(x)\left(I_{i}+\varepsilon t\right) \\ & w_{t}=b v-b \gamma w \end{aligned} \] where \(f\) has some properties so that the system has a H

Internal layer oscillations in FitzHugh-
Internal layer oscillations in FitzHugh-Nagumo equation
✍ YoonMee Ham 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 390 KB

A controller-propagator system with a FitzHugh-Nagumo equation can be reduced to a free boundary problem when a layer parameter e is equal to zero. We shall show the existence of solutions and the occurence of a Hopf bifurcation for this free boundary problem as the controlling parameter z varies. (

The modified FitzHugh–Nagumo system as a
The modified FitzHugh–Nagumo system as an oscillator
✍ A. Rabinovitch; M. Friedman 📂 Article 📅 2009 🏛 John Wiley and Sons 🌐 English ⚖ 163 KB

## Abstract The use of the modified FitzHugh–Nagumo system is extended to the limit cycle regime. Ranges of parameters for which such oscillatory behavior prevails are calculated and properties of phase space and individual pulses are obtained. Copyright © 2008 John Wiley & Sons, Ltd.