Controlling localized spatiotemporal chaos in a one-dimensional coupled map lattice

Suppression of the localized spatiotemporal chaos observed in the one-dimensional coupled map lattice system of Kaneko [Physica D 37 (1989) 60] is achieved using feedback control. The control is successful both for the frozen random patterns (the chaotic domains are fixed in space) and for the chaotic defect moving around in space. The control algorithm is completely automated and is only implemented on lattice sites where the local dynamics is determined to be chaotic via evaluation of the local Lyapunov exponent. This could have possible relevance to situations where localized turbulence results in degradation of the system performance. (C) 1997 Elsevier Science B.V.