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Convective instability induced by nonlocality in nonlinear diffusive systems

Francesco Papoff, Roberta Zambrini

nlin.PSarXiv:nlin/0503064

Abstract

We consider a large class of nonlinear diffusive systems with nonlocal coupling. By using a non-perturbative analytical approach we are able to determine the convective and absolute instabilities of all the uniform states of these systems. We find a huge window of convective instability that should provide a great opportunity to study experimentally and theoretically noise sustained patterns.

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