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Random attractors for stochastic FitzHugh-Nagumo systems driven by deterministic non-autonomous forcing - MaRDI portal

Random attractors for stochastic FitzHugh-Nagumo systems driven by deterministic non-autonomous forcing (Q1948820)

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scientific article; zbMATH DE number 6157321
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English
Random attractors for stochastic FitzHugh-Nagumo systems driven by deterministic non-autonomous forcing
scientific article; zbMATH DE number 6157321

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    Random attractors for stochastic FitzHugh-Nagumo systems driven by deterministic non-autonomous forcing (English)
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    24 April 2013
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    For a FitzHugh-Nagumo system on \(\mathbb R^n\) under the influence of both additive white noise and an additional non-autonomous deterministic forcing, the author establishes the existence of a random set attractor. The attractor is shown to inherit periodicity of periodic deterministic forcings.
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    pullback set attractor
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    periodicity properties
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    complete solution
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    FitzHugh-Nagumo system
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    unbounded domain
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