Controlling spatiotemporal chaos in active dissipative-dispersive nonlinear systems

S. N. Gomes, M. Pradas, S. Kalliadasis, D. T. Papageorgiou, and G. A. Pavliotis
Phys. Rev. E 92, 022912 – Published 19 August 2015
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Abstract

We present an alternative 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 or 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.

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  • Received 27 October 2014

DOI:https://doi.org/10.1103/PhysRevE.92.022912

©2015 American Physical Society

Authors & Affiliations

S. N. Gomes1, M. Pradas2,*, S. Kalliadasis2, D. T. Papageorgiou1, and G. A. Pavliotis1

  • 1Department of Mathematics, Imperial College London, London, SW7 2AZ, United Kingdom
  • 2Department of Chemical Engineering, Imperial College London, London, SW7 2AZ, United Kingdom

  • *Current address: Department of Mathematics and Statistics, The Open University, Milton Keynes MK7 6AA, United Kingdom.

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Vol. 92, Iss. 2 — August 2015

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