Pattern formation outside of equilibrium

MC Cross, PC Hohenberg - Reviews of modern physics, 1993 - APS
A comprehensive review of spatiotemporal pattern formation in systems driven away from
equilibrium is presented, with emphasis on comparisons between theory and quantitative …

Pattern formation in excitable media

E Meron - Physics reports, 1992 - Elsevier
Excitable media are extended nonequilibrium systems having uniform rest states that are
linearly stable but susceptible to finite perturbations. Depending on the forms of these …

[图书][B] An introduction to nonlinear chemical dynamics: oscillations, waves, patterns, and chaos

IR Epstein, JA Pojman - 1998 - books.google.com
Just a few decades ago, chemical oscillations were thought to be exotic reactions of only
theoretical interest. Now known to govern an array of physical and biological processes …

Experimental evidence of a sustained standing Turing-type nonequilibrium chemical pattern

V Castets, E Dulos, J Boissonade, P De Kepper - Physical review letters, 1990 - APS
We report the experimental observation of a sustained standing nonequilibrium chemical
pattern in a single-phase open reactor. Considering the properties of the pattern (symmetry …

Transition from a uniform state to hexagonal and striped Turing patterns

Q Ouyang, HL Swinney - Nature, 1991 - nature.com
CHEMICAL travelling waves have been studied experimentally for more than two decades1–
5, but the stationary patterns predicted by Turing6 in 1952 were observed only recently7–9 …

Control of waves, patterns and turbulence in chemical systems

AS Mikhailov, K Showalter - Physics Reports, 2006 - Elsevier
We review experimental and theoretical studies on the design and control of spatiotemporal
behavior in chemical systems. A wide range of approaches have been pursued to control …

Pattern formation by interacting chemical fronts

KJ Lee, WD McCormick, Q Ouyang, HL Swinney - Science, 1993 - science.org
Experiments on a bistable chemical reaction in a continuously fed thin gel layer reveal a
new type of spatiotemporal pattern, one in which fronts propagate at a constant speed until …

Testing Turing's theory of morphogenesis in chemical cells

N Tompkins, N Li, C Girabawe… - Proceedings of the …, 2014 - National Acad Sciences
Alan Turing, in “The Chemical Basis of Morphogenesis”[Turing AM (1952) Philos Trans R
Soc Lond 237 (641): 37–72], described how, in circular arrays of identical biological cells …

Spiral-wave dynamics in a simple model of excitable media: The transition from simple to compound rotation

D Barkley, M Kness, LS Tuckerman - Physical Review A, 1990 - APS
Two-dimensional reaction-diffusion equations with simple reaction kinetics are used to study
the dynamics of spiral waves in excitable media. Detailed numerical results are presented …

Turing-type chemical patterns in the chlorite-iodide-malonic acid reaction

P De Kepper, V Castets, E Dulos… - Physica D: Nonlinear …, 1991 - Elsevier
We describe experimental observations of symmetry breaking stationary patterns. These
patterns are interpreted as the first unambiguous evidence of Turing-type structures in a …