The modified FitzHugh–Nagumo system as an oscillator
✍ Scribed by A. Rabinovitch; M. Friedman
- Publisher
- John Wiley and Sons
- Year
- 2009
- Tongue
- English
- Weight
- 163 KB
- Volume
- 32
- Category
- Article
- ISSN
- 0170-4214
- DOI
- 10.1002/mma.1048
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✦ Synopsis
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.
📜 SIMILAR VOLUMES
The asymptotic behavior of the stochastic FitzHugh-Nagumo system with small excitability is concerned. It is proved that solutions of the stochastic FitzHugh-Nagumo system converge in probability to the unique solution of the limit system as the excitability tends to zero. In our approach the proof
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
## Abstract Systems of elliptic partial differential equations which are coupled in a noncooperative way, such as the FitzHugh–Nagumo type studied in this paper, in general do not satisfy order preserving properties. This not only results in technical complications but also yields a richer solution