Nonlinear diffusion control of spatiotemporal chaos in the complex Ginzburg-Landau equation

摘要

The role of nonlinear diffusion terms in the stability of periodic solutions in the regime of spatiotemporal chaos is studied. The stabilization of unstable plane waves in the complex Ginzburg-Landau equation in weakly chaotic regimes such as phase turbulence and spatiotemporal intermittency or in strong chaotic ones such as defect turbulence is demonstrated.