Noise-induced temporal dynamics in Turing systems
Linus J. Schumacher, Thomas E. Woolley, and Ruth E. Baker
Accepted
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 characterise the behaviour of the system in 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 de ned frequency. We find that it can do so in individual realisations of a stochastic simulation, but that the frequency is not defined consistently across realisations in our samples of parameter space. Further, we examine the ect of noise on deterministically predicted travelling waves and find them increased in amplitude and decreased in speed.