Physical Review E · 2009 · 19 citations · 34 references
Natural SciencesComputational EngineeringOpticsPattern FormationPhysical ChemistryNonlinear OpticsReaction-diffusion SystemsGalerkin ApproximationGalerkin DiscretizationNonlinear AnalysisReaction-diffusion PhenomenaSpot PatternsStripe PatternsTuring InstabilityTuring Pattern Formation
The photosensitive chlorine dioxide-iodine-malonic acid reaction-diffusion system has been an experimental paradigm for the study of Turing pattern over the last several years. When subjected to illumination of varied intensity by visible light the patterns undergo changes from spots to stripes, vice versa, and their mixture. We carry out a nonlinear analysis of the underlying model in terms of a Galerkin scheme with finite number of modes to explore the nature of the stability and existence of various modes responsible for the type and crossover of the light-induced patterns.
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Pattern formation outside of equilibrium
M. C. Cross, P. C. Hohenberg · Reviews of Modern Physics · 1993 · 7.8K citations
Finite bandwidth, finite amplitude convection
Alan C. Newell, J. A. Whitehead · Journal of Fluid Mechanics · 1969 · 1.5K citations
Experimental evidence of a sustained standing Turing-type nonequilibrium chemical pattern
V. Castets, E. Dulos, J. Boissonade et al. · Physical Review Letters · 1990 · 1.2K citations
Transition from a uniform state to hexagonal and striped Turing patterns
Qi Ouyang, Harry L. Swinney · Nature · 1991 · 916 citations
Computing, Computer Science, Physics +14