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Controlling spatiotemporal chaos

Physical Review LettersPublished 18 April 1994
Igor S. Aranson, Herbert Levine, Lev S. Tsimring
Citations146
SJR quartileQ1
SJR score2.86
SNIP2.41

TL;DR

A method for controlling spatiotemporal chaos in certain classes of spatially extended systems is proposed, which applies to the one- and two-dimensional complex Ginzburg-Landau equation and a recent model of spiral breakup in excitable media.

Abstract

A method for controlling spatiotemporal chaos in certain classes of spatially extended systems is proposed. In these systems, unstable defects emit convectively unstable waves which subsequently break and may nucleate new defects. Control is achieved via the stabilization of one such active wave source, which then sweeps all of the chaotic fluctuations to the system boundaries. This method is applied to the one- and two-dimensional complex Ginzburg-Landau equation, and to a recent model of spiral breakup in excitable media.

Keywords

Computer SciencePhysics and Astronomy