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Multi-chimera states in FitzHugh-Nagumo oscillators

✍ Scribed by Philipp Hövel, Iryna Omelchenko

Book ID
120677913
Publisher
BioMed Central
Year
2013
Tongue
English
Weight
75 KB
Volume
14
Category
Article
ISSN
1471-2202

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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. (

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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