title: Controlling spatiotemporal chaos in active dissipative-dispersive nonlinear systems.
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.
authors.affiliation: Department of Mathematics, Imperial College London, London, SW7 2AZ, United Kingdom.
authors.forename: S N
authors.initials: SN
authors.lastname: Gomes
authors.affiliation: Department of Chemical Engineering, Imperial College London, London, SW7 2AZ, United Kingdom.
authors.forename: M
authors.initials: M
authors.lastname: Pradas
authors.affiliation: Department of Chemical Engineering, Imperial College London, London, SW7 2AZ, United Kingdom.
authors.forename: S
authors.initials: S
authors.lastname: Kalliadasis
authors.affiliation: Department of Mathematics, Imperial College London, London, SW7 2AZ, United Kingdom.
authors.forename: D T
authors.initials: DT
authors.lastname: Papageorgiou
authors.affiliation: Department of Mathematics, Imperial College London, London, SW7 2AZ, United Kingdom.
authors.forename: G A
authors.initials: GA
authors.lastname: Pavliotis