Controlling spatiotemporal chaos in active dissipative-dispersive nonlinear systems
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Published version
Author(s)
Gomes, SN
Pradas, M
Kalliadasis, S
Papageorgiou, DT
Pavliotis, GA
Type
Journal Article
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.
Date Issued
2015-08-19
Date Acceptance
2014-10-27
Citation
Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 2015, 92 (2)
ISSN
1539-3755
Publisher
APS Physics
Journal / Book Title
Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume
92
Issue
2
Copyright Statement
© 2015 The American Physical Society
Publication Status
Published