𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Internal layer oscillations in FitzHugh-Nagumo equation

✍ Scribed by YoonMee Ham


Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
390 KB
Volume
103
Category
Article
ISSN
0377-0427

No coin nor oath required. For personal study only.

✦ Synopsis


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. (~) 1999 Elsevier Science B.V. All rights reserved.


πŸ“œ SIMILAR VOLUMES


On Delayed Oscillation in Nonspatially U
✍ J.Z. Su πŸ“‚ Article πŸ“… 1994 πŸ› Elsevier Science 🌐 English βš– 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

Bifurcation, Chaos and Suppression of Ch
✍ S. Rajasekar; M. Lakshmanan πŸ“‚ Article πŸ“… 1994 πŸ› Elsevier Science 🌐 English βš– 599 KB

We study the effect of constant and periodic membrane currents in neuronal axons described by the FitzHugh-Nagumo equation in its wave form. Linear stability analysis is carried out in the absence of periodic membrane current. Occurrence of chaotic motion, (i) in the absence of both constant and per