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Coloured noise from stochastic inflows in reaction-diffusion systems

Abstract:

In this paper we present a framework for investigating coloured noise in reaction-diffusion systems. We start by considering a deterministic reaction-diffusion equation and show how external forcing can cause temporally correlated or coloured noise. Here, the main source of external noise is considered to be fluctuations in the parameter values representing the inflow of particles to the system. First, we determine which reaction systems, driven by extrinsic noise, can admit only one steady s...

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Publication status:
Not published
Peer review status:
Not peer reviewed

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Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Oxford college:
St Cross College
Role:
Author
More by this author
Institution:
University of Oxford
Division:
MPLS Division
Department:
Mathematical Institute
Oxford college:
Brasenose College
Role:
Author
ORCID:
0000-0002-6888-4362
Source identifiers:
936566
Pubs id:
pubs:936566
UUID:
uuid:1c2f99e3-776b-4732-8696-7852ccef6e31
Local pid:
pubs:936566
Deposit date:
2019-01-31

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