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• W1966582786 abstract "The ability of Gaussian noise to induce ordered states in dynamical systems is here presented in an overview of the main stochastic mechanisms able to generate spatial patterns. These mechanisms involve: (i) a deterministic local dynamics term, accounting for the local rate of variation of the field variable, (ii) a noise component (additive or multiplicative) accounting for the unavoidable environmental disturbances, and (iii) a linear spatial coupling component, which provides spatial coherence and takes into account diffusion mechanisms. We investigate these dynamics using analytical tools, such as mean-field theory, linear stability analysis and structure function analysis, and use numerical simulations to confirm these analytical results." @default.
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• W1966582786 date "2011-02-01" @default.
• W1966582786 modified "2023-09-27" @default.
• W1966582786 title "Spatial pattern formation induced by Gaussian white noise" @default.
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• W1966582786 doi "https://doi.org/10.1016/j.mbs.2010.11.008" @default.
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