Various patte evolutions are presented in one- and two-dimensional spatially coupled phase-conjugate systems (SCPCSs).As the system parameters change，different pattes are obtained from the period-doubling of kink-antikinks in space to the spatiotemporal chaos in a one-dimeusional SCPCS.The homogeneous symmetric states induce symmetry breaking from the four coers 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.