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.
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Montagne et al. (1997) studied this question.
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