Noise-sustained oscillation and synchronization of excitable media with stirring

Zhou, Changsong, Kurths, Jürgen, Neufeld, Zoltan and Kiss, István Z. (2004). Noise-sustained oscillation and synchronization of excitable media with stirring. In: Noise in Complex Systems and Stochastic Dynamics II. Conference on Noise in Complex Systems and Stochastic Dynamics II, Maspalomas, Spain, (193-202). 26-28 May 2004. doi:10.1117/12.546755

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Author Zhou, Changsong
Kurths, Jürgen
Neufeld, Zoltan
Kiss, István Z.
Title of paper Noise-sustained oscillation and synchronization of excitable media with stirring
Conference name Conference on Noise in Complex Systems and Stochastic Dynamics II
Conference location Maspalomas, Spain
Conference dates 26-28 May 2004
Proceedings title Noise in Complex Systems and Stochastic Dynamics II   Check publisher's open access policy
Journal name Proceedings of SPIE   Check publisher's open access policy
Place of Publication Bellingham, WA, United States
Publisher SPIE - International Society for Optical Engineering
Publication Year 2004
Sub-type Fully published paper
DOI 10.1117/12.546755
Open Access Status File (Publisher version)
ISBN 0-8194-5393-5
ISSN 0277-786X
1996-756X
Volume 5471
Start page 193
End page 202
Total pages 9
Language eng
Abstract/Summary 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.
Keyword Excitable systems
Static media
Stirring
Noise
Q-Index Code E1
Q-Index Status Provisional Code
Institutional Status Non-UQ

Document type: Conference Paper
Collection: School of Mathematics and Physics
 
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Created: Thu, 28 Jun 2012, 12:27:01 EST by Zoltan Neufeld on behalf of Mathematics