TRACKING PERIODIC PATTERNS INTO SPATIOTEMPORAL CHAOTIC REGIMES

We show that unstable periodic solutions of spatially extended 2D syst ems, when weakly perturbed, can be stabilized by local feedback withou t spatial coupling. We argue through this finding that stable solution s can be tracked into unstable and spatiotemporal chaotic regimes by s imply utilizing feedback control algorithms established for controllin g temporal chaos in spatially constrained systems. We demonstrate nume rically that the range of stable traveling waves in a laser system can be greatly extended through one such algorithm. Issues regarding prac tical implementation of the approach are discussed.