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.

The control of hyperchaos in the circuit by means of proportional periodic pulse perturbation to the system variables (PP-SV) has been realized. By using a single output signal of the system as the feedback variable, we and not only replace the system variable by itself, but also add the feedback signal to other system variables, and thus achieve good control results. The results of numerical simulation are in good agreemend with the experimental data.

No abstract

The one- and two-dimensional coupled map lattices in nonlinear dynamic system are used as the system model. We report a method with which the spatiotemporal chaos can be synchronized using unilateral coupling in two Bragg acousto-optic bistable spatial extended systems. The synchronization can be realized by appropriately selecting the coupling strength and the equilibrium coefficient. By calculating the largest conditional Lyapunov exponent, we obtain the minimum coupling strength for achieving the synchronization and the functional relationship between the minimum coupling strength and the system parameters. Our simulation shows that the synchronization can also be realized under the influence of small random noise, so this method is robust.