Roughening of spatial profiles in the presence of parametric noise

Sinha, Sudeshna (1998) Roughening of spatial profiles in the presence of parametric noise Physics Letters A, 245 (5). pp. 393-398. ISSN 0375-9601

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Official URL: http://www.sciencedirect.com/science/article/pii/S...

Related URL: http://dx.doi.org/10.1016/S0375-9601(98)00473-3

Abstract

We have studied the influence of parametric noise on the spatially homogeneous phase of a generalized coupled map lattice with varying ranges of interaction. We show that synchronicity is completely stable under perturbations of the coupling strength, while variations in the local nonlinearity parameter lead to a coarsening of the spatial profile, well characterised by a host of scaling laws relating spatial roughness to range of disorder and strength of coupling.

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