In this paper we firstly study the synchronization of the spatially coupled acousto-optic bistable system using nonlinear feedback technology. Two cases are considered. The first is the same systems with the same parameters. The second is the same systems with the different parameters. The largest conditional Lyapunov exponent spectra are calculated. We give the minimum coupling strength of achieving the synchronization, and the functional relationship between the minimum coupling strength and the system parameters. This method is easy to implement in experiment since adjusting the coupled strength only. It has special importance in practical communication.
We present a study of the evolutions to spatiotemporal chaos for the extended spatially acousto-optic bistable system in the one- and two-dimensional map lattices. As the system parameters are changed, we obtain the evolutions of the different patterns such as the frozen random state, the pattern selection state, the defect chaotic diffusion state, the defect turbulence state, the pattern competition intermittency state, and the fully developed turbulence state in the one-dimensional extended spatially acousto-optic bistable system. We demonstrate also the evolutions that the homogeneous symmetric states generate symmetry breaking from the four corners and the boundaries and finally lead to spatiotemporal chaos with the increase of the iteration time in the two-dimensional extended spatially acousto-optic bistable system.