Tracking Periodic Patterns into Spatiotemporal Chaotic Regimes
- 9 June 1997
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 78 (23) , 4375-4378
- https://doi.org/10.1103/physrevlett.78.4375
Abstract
We show that unstable periodic solutions of spatially extended 2D systems, when weakly perturbed, can be stabilized by local feedback without spatial coupling. We argue through this finding that stable solutions can be tracked into unstable and spatiotemporal chaotic regimes by simply utilizing feedback control algorithms established for controlling temporal chaos in spatially constrained systems. We demonstrate numerically that the range of stable traveling waves in a laser system can be greatly extended through one such algorithm. Issues regarding practical implementation of the approach are discussed.Keywords
This publication has 18 references indexed in Scilit:
- Control of Patterns in Spatiotemporal Chaos in OpticsPhysical Review Letters, 1996
- Controlling Domain Patterns Far from EquilibriumPhysical Review Letters, 1996
- Controlling ComplexityPhysical Review Letters, 1995
- Tracking Unstable Turing Patterns through Mixed-Mode Spatiotemporal ChaosPhysical Review Letters, 1995
- Control of low-dimensional spatiotemporal chaos in Fourier spacePhysical Review E, 1995
- Stabilized spatiotemporal waves in a convectively unstable open flow system: coupled diode resonatorsPhysical Review E, 1995
- Controlling spatiotemporal chaosPhysical Review Letters, 1994
- Controlling spatiotemporal patterns on a catalytic waferPhysical Review Letters, 1994
- Controlling extended systems of chaotic elementsPhysical Review Letters, 1994
- Controlling spatiotemporal chaos in coupled map lattice systemsPhysical Review Letters, 1994