Noise-induced temporal dynamics in Turing systems

Linus J. Schumacher*, Thomas E. Woolley, Ruth E. Baker

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

We examine the ability of intrinsic noise to produce complex temporal dynamics in Turing pattern formation systems, with particular emphasis on the Schnakenberg kinetics. Using power spectral methods, we characterize the behavior of the system using stochastic simulations at a wide range of points in parameter space and compare with analytical approximations. Specifically, we investigate whether polarity switching of stochastic patterns occurs at a defined frequency. We find that it can do so in individual realizations of a stochastic simulation, but that the frequency is not defined consistently across realizations in our samples of parameter space. Further, we examine the effect of noise on deterministically predicted traveling waves and find them increased in amplitude and decreased in speed. DOI:10.1103/PhysRevE.87.042719

Original languageEnglish
Article number042719
Number of pages10
JournalPhysical Review E
Volume87
Issue number4
DOIs
Publication statusPublished - 25 Apr 2013

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