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Turing Patterns

1998
In the first chapter of this book, we noted the “dark age” of nearly forty years separating the work of Bray and Lotka in the early 1920s and the discovery of the BZ reaction in the late 1950s. Remarkably, the history of nonlinear chemical dynamics contains another gap of almost the same length.
Irving R. Epstein, John A. Pojman
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Localized Turing and Turing-Hopf Patterns

1995
In systems driven away from thermodynamic equilibrium, patchiness often arises through the occurrence of symmetry breaking bifurcations. Diffusive instabilities resulting from differential diffusion processes acting in the presence of some autocatalytic kinetic scheme enter that class of phenomena to produce stationary space periodic (Turing) or ...
Borckmans, Pierre   +5 more
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Sidewall forcing of hexagonal Turing patterns: rhombic patterns

Physica D: Nonlinear Phenomena, 1995
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Pérez-Muñuzuri, V.   +4 more
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Turing-Type Patterns on Electrode Surfaces

Science, 2001
We report stationary, nonequilibrium potential and adsorbate patterns with an intrinsic wavelength that were observed in an electrochemical system with a specific type of current/electrode-potential ( I- φ DL ) characteristic.
Li, Y.   +5 more
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Turing patterns beyond hexagons and stripes

Chaos: An Interdisciplinary Journal of Nonlinear Science, 2006
The best known Turing patterns are composed of stripes or simple hexagonal arrangements of spots. Until recently, Turing patterns with other geometries have been observed only rarely. Here we present experimental studies and mathematical modeling of the formation and stability of hexagonal and square Turing superlattice patterns in a photosensitive ...
Lingfa, Yang   +3 more
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Turing pattern formation in heterogenous media

Physica D: Nonlinear Phenomena, 1996
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Voroney, J.-P.   +2 more
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Particle dynamics simulations of Turing patterns

The Journal of Chemical Physics, 2012
The direct simulation Monte Carlo method is used to reproduce Turing patterns at the microscopic level in reaction-diffusion systems. In order to satisfy the basic condition for the development of such a spatial structure, we propose a model involving a solvent, which allows for disparate diffusivities of individual reactive species.
P, Dziekan, A, Lemarchand, B, Nowakowski
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Turing Patterns in 3D

Science, 2011
Turing patterns—self-organized structures created by systems that undergo reaction and diffusion—are a possible mechanism underlying pattern formation in living organisms. Although there are many experimental studies of two-dimensional (2D) pattern formation—three-dimensional (3D) structures, the most relevant to biology, have been difficult to observe
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Conventional and unconventional Turing patterns

The Journal of Chemical Physics, 1992
The formation of two-dimensional Turing patterns in nonequilibrium chemical systems is studied by numerical simulations with an activator-substrate depletion model. The relative stabilities of the different hexagonal patterns and the striped patterns are discussed, in particular in the vicinity of the transition, and compared with the present state ...
V. Dufiet, J. Boissonade
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