Excitability transitions and wave dynamics under spatiotemporal structured noise.
We present an analytic and numerical study of the effects of external fluctuations in active media. Our analytical methodology transforms the initial stochastic partial differential equations into an effective set of deterministic reaction-diffusion equations. As a result we are able to explain and make quantitative predictions on the systematic and constructive effects of the noise, for example, target patterns created out of noise and traveling or spiral waves sustained by noise. Our study includes the case of realistic noises with temporal and spatial structures.
Departament de Química Física, Universitat de Barcelona, Avenida Diagonal 647, 08028 Barcelona, Spain. s.alonso@qf.ub.es
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Alonso
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Sagués
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Sancho