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Controlling spatiotemporal chaos in active dissipative-dispersive nonlinear systems

Gomes, S. N.; Pradas, M.; Kalliadasis, S.; Papageorgiou, D. T. and Pavliotis, G. A. (2015). Controlling spatiotemporal chaos in active dissipative-dispersive nonlinear systems. Physical Review E, 92(2), article no. 022912.

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DOI (Digital Object Identifier) Link: https://doi.org/10.1103/PhysRevE.92.022912
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Abstract

We present a new methodology for the stabilization and control of infinite-dimensional dynamical systems exhibiting low-dimensional spatiotemporal chaos. We show that with an appropriate choice of time-dependent controls we are able to stabilize and/or control all stable or unstable solutions, including steady solutions, traveling waves (single and multipulse ones/bound states) and spatiotemporal chaos. We exemplify our methodology with the generalized Kuramoto-Sivashinsky equation, a paradigmatic model of spatiotemporal chaos, which is known to exhibit a rich spectrum of wave forms and wave transitions and a rich variety of spatiotemporal structures.

Item Type: Journal Item
Copyright Holders: 2015 American Physical Society
ISSN: 1550-2376
Project Funding Details:
Funded Project NameProject IDFunding Body
Not SetEP/H34587EPSRC
Not SetEP/J009636EPSRC
Not SetEP/K041134EPSRC
Not SetEP/L020564EPSRC
Not SetEP/L024926EPSRC
Not Set247031ERC
Extra Information: 6 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: 44513
Depositing User: Marc Pradas
Date Deposited: 02 Oct 2015 09:41
Last Modified: 08 Dec 2018 13:22
URI: http://oro.open.ac.uk/id/eprint/44513
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