Roughening of spatial profiles in the presence of parametric noise |
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| Institution: | 1. Department of Dental and Oral Pathology, Lithuanian University of Health Sciences, Kaunas, Lithuania;2. Department of Biochemistry, Medical Academy, Lithuanian University of Health Sciences, Kaunas, Lithuania;3. Department of Pharmacognosy, Lithuanian University of Health Sciences, Kaunas, Lithuania;1. Dept. of Psychiatry, Mount Sinai Beth Israel, 1st Ave. & 16t St., NY, NY, 10003;2. New York Presbyterian Hospital, 622 W. 168th St., NY, NY, 10032;3. City College of the City University of New York, 160 Convent Ave., NY, NY, 10031 |
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| 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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