【摘要】 目的———构造二维均匀耦合映象格子中的时空周期图案 ;方法———通过一维耦合映象格子模型的相空间中已知低空间周期轨道 ,直接构造二维均匀耦合映象格子模型中一系列空间周期轨道 ,而不必求解其模型方程 ,并对构造轨道的稳定性进行分析 ;结果———L2 ×L2 雅可比矩阵可化简为几个 2× 2矩阵组成的对角矩阵 ;结论———所构造轨道的稳定性不可能比原来轨道的稳定性高 .更多还原

【Abstract】 Aim: The spatiotemporal periodic pattern of a two-dimensional symmetrically coupled map lattice is constructed. Method: Without solving the modeling equations, a series of spatiotemporal periodic orbits in coupled map lattices are deduced by known orbits of one-dimensional coupled map lattices with lower spatial period. The stability of the deduced orbits is analyzed. Results: The L 2×L 2 Jacobian matrices can be simplified as diagonal matrices of a few 2×2 matrices. Conclusion: The stability of constructed orbits can never be better than that of the original ones.更多还原