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Analytic first integrals of the FitzHugh – Nagumo systems

✍ Scribed by Jaume Llibre; Clàudia Valls

Book ID
105767140
Publisher
Springer
Year
2008
Tongue
English
Weight
198 KB
Volume
60
Category
Article
ISSN
0044-2275

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📜 SIMILAR VOLUMES

Limit dynamics for the stochastic FitzHu
Limit dynamics for the stochastic FitzHugh–Nagumo system
✍ Yan Lv; Wei Wang 📂 Article 📅 2010 🏛 Elsevier Science 🌐 English ⚖ 422 KB

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

The modified FitzHugh–Nagumo system as a
The modified FitzHugh–Nagumo system as an oscillator
✍ 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.