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A generalized Fitzhugh–Nagumo equation

✍ Scribed by P. Browne; E. Momoniat; F.M. Mahomed

Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
426 KB
Volume
68
Category
Article
ISSN
0362-546X

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📜 SIMILAR VOLUMES

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. (

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