Fig. 1. Dispersion relations of coupled systems under different parameters: (a) D_u1 = 12.6, D_v1 = 27.9, D_u2 = 22, D_v2 = 420, α = 0.1; (b) D_u1 = 5.3, D_v1 = 20, D_u2 = 22, D_v2 = 500, α = 0.1. 不同参数下耦合系统的色散关系　(a) D_u1 = 12.6, D_v1 = 27.9, D_u2 = 22, D_v2 = 420, α = 0.1; (b) D_u1 = 5.3, D_v1 = 20, D_u2 = 22, D_v2 = 500, α = 0.1

Fig. 2. Superlattice pattern and fourier spectrum under different wave number ratios: (a) Black eye pattern at 1∶2, , , , ; (b) white eye pattern at 1∶3, , , , ; (c) white eye pattern at 1∶4, , , , . . 不同波数比下的超点阵斑图及其傅里叶频谱图　(a) 1∶2下的黑眼斑图, , , , ; (b) 1∶3下的白眼斑图, , , , ; (c) 1∶4下的白眼斑图, , , , .

Fig. 3. Oscillatory super-hexagon pattern with wave number ratio of 1∶5, , , , , : (a) Dispersion curve; (b) time variation of u₁ at three positions; (c) evolution of pattern in an oscillating period. 波数比为1∶5时的时间振荡超六边形斑图, , , , , 　(a) 色散关系曲线; (b) 三个位置处u₁的时间变化关系图; (c) 一个振荡周期内的斑图演化过程

Fig. 4. Complex patterns and Fourier spectrum under different eigenvalues : (a) Honeycomb hexagon pattern , , , , ; (b) white-eye pattern , , , , ; (c) white-eye pattern , , , , ; (d) super-hexagon pattern , , , , ; (e) stripe pattern , , , , . . 不同本征值 下的复杂斑图及其傅里叶频谱图　(a) 蜂窝状六边形斑图 , , , , ; (b) 白眼斑图 , , , , ; (c) 白眼斑图 , , , , ; (d) 超六边形斑图 , , , , ; (e) 条纹斑图 , , , , . .

Fig. 5. Complex patterns and fourier spectrum under different eigenvalues : (a) White-eye pattern, , , , , ; (b) stripe-spot pattern, , , , , , . 不同本征值 下的复杂斑图及其傅里叶频谱图　(a) 白眼斑图, , , , , ; (b) 条纹点状斑图, , , , , ,

Fig. 6. Super-hexagon patterns with different coupling strength: (a) White-eye pattern, , , , , ; (b) white-eye pattern, , , , , ; (c) new super-hexagon pattern, , , , , ; (d) new white-eye pattern, , , , , . 不同耦合强度下的超六边形斑图　(a) 白眼斑图, , , , , ; (b) 白眼斑图, , , , , ; (c) 新型超六边形斑图, , , , , ; (d) 新白眼斑图, , , , ,