Coupled map lattice techniques for simulating interfacial phenomena in reaction-diffusion systems
- 1 July 1992
- journal article
- Published by AIP Publishing in Chaos: An Interdisciplinary Journal of Nonlinear Science
- Vol. 2 (3) , 337-342
- https://doi.org/10.1063/1.165876
Abstract
Interfacial patterns arise due to the dynamical evolution of phase boundaries in physical, chemical and biological systems. Coupled map lattices (CML) offer a useful tool for the simulation of such systems, being able to naturally accommodate the disparate length and time scales inherent in the dynamics of these processes. We illustrate this idea by reviewing work done on applying CML methods to crystal growth and to excitable media.Keywords
This publication has 28 references indexed in Scilit:
- Spiral core in singly diffusive excitable mediaPhysical Review Letters, 1992
- Discrete models for chemically reacting systemsJournal of Mathematical Chemistry, 1991
- Asymptotic form factor for spinodal decomposition in three-spacePhysical Review Letters, 1991
- Coupled-map lattice model for crystal growthPhysical Review A, 1990
- Spiral-wave dynamics in a simple model of excitable media: The transition from simple to compound rotationPhysical Review A, 1990
- Study of phase-separation dynamics by use of cell dynamical systems. I. ModelingPhysical Review A, 1988
- Pattern selection in fingered growth phenomenaAdvances in Physics, 1988
- Computationally efficient modeling of ordering of quenched phasesPhysical Review Letters, 1987
- Theory of dynamic critical phenomenaReviews of Modern Physics, 1977
- The chemical basis of morphogenesisPhilosophical Transactions of the Royal Society of London. B, Biological Sciences, 1952