Dr. Changsong Zhou Profile

Dr. Changsong Zhou

at Univ Potsdam

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Proceedings Article | 25 May 2004 Paper

Noise-sustained oscillation and synchronization of excitable media with stirring

Changsong Zhou, Jurgen Kurths, Zoltan Neufeld, Istvan Kiss

Proceedings Volume 5471, (2004) https://doi.org/10.1117/12.546755

KEYWORDS: Diffusion, Homogenization, Stochastic processes, Error control coding, Interference (communication), Chemical reactions, Wave propagation, Systems modeling, Control systems, Information operations

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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.

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