Control of defect-mediated turbulence in the complex Ginzburg-Landau equation via ordered waves

Here, we study the local control of defect-mediated turbulence or spiral turbulence via ordered waves in the two- (2D) and three-dimensional (3D) complex Ginzburg - Landau equation (CGLE) systems. Depending on the local oscillating frequency resulting from the external periodic injection or the localized inhomogeneity, either spiral waves or target waves could be generated and they may successfully suppress the turbulent waves in the CGLE systems. Theoretical analysis combined with numerical analysis is given to reveal the underlying mechanism.