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Noise induced state transitions, intermittency, and universality in the noisy Kuramoto-Sivashinksy equation

Pradas, M.; Tseluiko, D.; Kalliadasis, S.; Papageorgiou, D. T. and Pavliotis, G. A. (2011). Noise induced state transitions, intermittency, and universality in the noisy Kuramoto-Sivashinksy equation. Physical Review Letters, 106(6), article no. 060602.

DOI (Digital Object Identifier) Link: https://doi.org/10.1103/PhysRevLett.106.060602
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Abstract

Consider the effect of pure additive noise on the long-time dynamics of the noisy Kuramoto-Sivashinsky (KS) equation close to the instability onset. When the noise acts only on the first stable mode (highly degenerate), the KS solution undergoes several state transitions, including critical on-off intermittency and stabilized states, as the noise strength increases. Similar results are obtained with the Burgers equation. Such noise-induced transitions are completely characterized through critical exponents, obtaining the same universality class for both equations, and rigorously explained using multiscale techniques.

Item Type: Journal Item
Copyright Holders: 2011 American Physical Society
ISSN: 1079-7114
Project Funding Details:
Funded Project NameProject IDFunding Body
MultiflowNot SetEU-FP7 ITN
Extra Information: 4 pp.
Academic Unit/School: Faculty of Science, Technology, Engineering and Mathematics (STEM) > Mathematics and Statistics
Faculty of Science, Technology, Engineering and Mathematics (STEM)
Item ID: 41210
Depositing User: Marc Pradas
Date Deposited: 04 Nov 2014 09:45
Last Modified: 07 Dec 2018 10:26
URI: http://oro.open.ac.uk/id/eprint/41210
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