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- W2044298923 abstract "Constructive effects of noise have been well studied in spatially extended systems. In most of these studies, the media are static, reaction-diffusion type, and the constructive effects are a consequence of the interplay between local excitation due to noise perturbation and propagation of excitation due to diffusion. Many chemical or biological processes occur in a fluid environment with mixing. In this paper, we investigate the interplay among noise, excitability, diffusion and mixing in excitable media advected by a chaotic flow, in a 2D Fitz Hugh-Nagumo model described by a set of reaction-advection-diffusion equations. Without stirring, noise can only generate non-coherent excited patches of the static media. In the presence of stirring, we observe three dynamical and pattern formation regimes: (1) Non-coherent excitation, when mixing is not strong enough to achieve synchronization of independent excitations developed at different locations; (2) Coherent global excitation, when the noise-induced perturbation propagates by mixing and generates a synchronized excitation of the whole domain; and (3) Homogenization, when strong stirring dilutes quickly those noise-induced local excitations. In the presence of an external sub-threshold periodic forcing, the period of the noise-sustained oscillations can be locked by the forcing period with different ratios. Our results may be verified in experiments and find applications in population dynamics of oceanic ecological systems." @default.
- W2044298923 created "2016-06-24" @default.
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- W2044298923 date "2004-05-25" @default.
- W2044298923 modified "2023-10-14" @default.
- W2044298923 title "Noise-sustained oscillation and synchronization of excitable media with stirring" @default.
- W2044298923 doi "https://doi.org/10.1117/12.546755" @default.
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