Spatiotemporal periodic patterns of a two-dimensional symmetrically coupled map lattices

Aim: The spatiotemporal periodic pattern of a two-dimensional symmetrically coupled map lattice is constructed. Method: Without solving the modeling e quations, a series of spatiotemporal periodic orbits in coupled map lattice s are deduced by known orbits of one-dimensional coupled map lattices with lower spatial period. The stability of the deduced orbits is analyzed. Resu lts: The L-2 x L-2 Jacobian matrices can be simplified as diagonal matrices of a few 2 x 2 matrices. Conclusion: The stability of constructed orbits c an never be better than that of the original ones.