Controlling spatiotemporal chaos
- 18 April 1994
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 72 (16) , 2561-2564
- https://doi.org/10.1103/physrevlett.72.2561
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.This publication has 22 references indexed in Scilit:
- Controlling chaos in systems described by partial differential equationsPhysical Review Letters, 1993
- Turbulence due to spiral breakup in a continuous excitable mediumPhysical Review E, 1993
- Spiral breakup in model equations of action potential propagation in cardiac tissuePhysical Review Letters, 1993
- Controlling chaos in the Belousov—Zhabotinsky reactionNature, 1993
- Tracking unstable orbits in an experimentPhysical Review A, 1992
- Stability limits of spirals and traveling waves in nonequilibrium mediaPhysical Review A, 1992
- Experimental control of chaosPhysical Review Letters, 1990
- Experimental evidence of chaotic itinerancy and spatiotemporal chaos in opticsPhysical Review Letters, 1990
- Controlling chaosPhysical Review Letters, 1990
- Chemical Oscillations, Waves, and TurbulencePublished by Springer Nature ,1984