15 FIG. 4: Coloured online. Oscillation regulation of target waves by discarding some interacting links of Fig. 2 (c). (a) Trajectories of < u ( t ) > 1 N 2 ∑ N = 100 i , j = 1 u$_{i}$$_{,}$$_{j}$ ( t ) and < v ( t ) > 1 N 2 ∑ N = 100 i , j = 1 v$_{i}$$_{,}$$_{j}$ ( t ) with a single long-range link B $^{′}$$_{1}$A$_{1}$ of pattern Fig. 2(c) discarded at t = 850 (indicated by the dot line). (b) A snapshot of pattern taken at t = 855 evolved from pattern Fig. 2(c) after the L-RC B $^{′}$$_{1}$A$_{1}$ discarded. (c) (d) Snapshots of the asymptotic patterns taken at t = 1500 with 141 long-rang links ((c)) and 148 long-rang links ((d)) discarded at t = 850, respectively. All the remained long-range couplings are shown in (c) and (d).