COLLECTIVE BEHAVIOR OF COUPLED MAP LATTICES WITH ASYMMETRICAL COUPLING

We analyze a coupled map lattice system with spatially inhomogeneous, asymmetrical couplings. Depending on the form and the strength of the spatially distributed couplings, the system exhibits stationary and os cillatory zigzag patterns, spatial coherence of temporally periodic an d chaotic orbits, and spatially confined spatiotemporal chaos. For cer tain values of the system parameters, the coherent state is found to b e very sensitive to the initial conditions. By varying the coupling st rength and the asymmetry constant, phase transitions among different s patiotemporal states are observed. (C) 1998 Published by Elsevier Scie nce B.V.