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Deterministic and Stochastic FitzHugh–Nagumo Systems

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Stochastic Biomathematical Models

Part of the book series: Lecture Notes in Mathematics ((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.

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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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