Controlling Spatiotemporal Chaos in Coupled Map Lattices toPeriodic Orbits

Two methods are presented for controllingspatiotemporal chaotic motionin coupled map lattices to a kind of periodic orbit where thedynamical variables of all lattice sites are equal and act periodicallyas time evolves. Stability analysis of the periodic orbits is presented.We prove that especially the second controlling method can stabilizeall the periodic orbits we concern. Basin of attraction and noiseproblem are discussed.