Sang Jin-Yu( ) a) , Yang Ji( ) b) , and Yue Li-Juan( ) a) †

Various pattern evolutions are presented in one-and two-dimensional spatially coupled phase-conjugate systems (SCPCSs). As the system parameters change, different patterns are obtained from the period-doubling of kink-antikinks in space to the spatiotemporal chaos in a one-dimensional SCPCS. The homogeneous symmetric states induce symmetry breaking from the four corners and the boundaries, finally leading to spatiotemporal chaos with the increase of the iteration time in a two-dimensional SCPCS. Numerical simulations are very helpful for understanding the complex optical phenomena.

Generalized synchronization of chaos is studied for two-dimensional time-delayed chaotic systems with different structurs. The auxiliary system method and the stability theory of functional differential equations are used. Compared with the conventional generalized synchronization approaches, the proposed method is convenient to realize generalized synchronization of chaos. Simulation results illustrate the validity of the method.