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Multistability in coupled Fitzhugh–Nagumo oscillators

✍ Scribed by Sue Ann Campbell; Michael Waite

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
506 KB
Volume
47
Category
Article
ISSN
0362-546X

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📜 SIMILAR VOLUMES

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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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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

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✍ 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.

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Here we present a study of stochastic resonance (SR) in an extended FitzHugh-Nagumo system with a field dependent activator diffusion. We show that the system response (here measured through the output signal-to-noise ratio (SNR)) is enhanced due to the particular form of the non-homogeneous couplin