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Deterministic and Stochastic FitzHugh–Nagumo Systems

Part of the Lecture Notes in Mathematics book series (LNMBIOS,volume 2058)

Abstract

In this chapter we review some mathematical aspects of FitzHugh–Nagumo systems of ordinary differential equations or partial differential equations. Our treatment is probabilistic. We focus on small noise asymptotics for these systems and their stochastic perturbations. The noise is either an external perturbation or already present when the system involves spatial propagation.

Keywords

  • FN Systems
  • FitzHugh Nagumo (FN)
  • Small Noise Asymptotics
  • Spatial Propagation
  • Ordinary Differential Equations

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Fig. 7.1

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Correspondence to Michèle Thieullen .

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Thieullen, M. (2013). Deterministic and Stochastic FitzHugh–Nagumo Systems. In: Bachar, M., Batzel, J., Ditlevsen, S. (eds) Stochastic Biomathematical Models. Lecture Notes in Mathematics(), vol 2058. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-32157-3_7

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