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• W2085296811 abstract "We study the effects of thermal noise in a stochastic, Langevin formulation, of a spatio-temporal pattern-forming Partial Differential Equation (PDE) model with circular domain. Modification of a recently developed numerical integration scheme reveals that the pattern-forming model exhibits, in the presence of noise, a greater tendency towards dynamic states and towards intermittent patterns in which ordered states appear randomly, preceded and succeeded by disorganized states. In order to gain additional insight, we focus on a region of parameter space where the patterns of the deterministic system arise from the steady-state interaction of two pairs of modes with wave numbers in a 1:2 ratio. Analysis of the associated stochastic normal form equations allows us to explain the underlying bifurcations of the noise-induced patterns, some of which had only been observed, until now, in laboratory experiments." @default.
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• W2085296811 date "2007-08-01" @default.
• W2085296811 modified "2023-09-27" @default.
• W2085296811 title "NOISE-INDUCED INTERMITTENCY IN CELLULAR PATTERN-FORMING SYSTEMS" @default.
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• W2085296811 doi "https://doi.org/10.1142/s0218127407018749" @default.
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