Coupled-map lattice model for crystal growth

1990 ◽  
Vol 42 (10) ◽  
pp. 6125-6128 ◽  
Author(s):  
David A. Kessler ◽  
Herbert Levine ◽  
W. N. Reynolds
Keyword(s):  
Crystal Growth ◽  
Lattice Model ◽  
Coupled Map Lattice

scholarly journals The bee Tetragonula builds its comb like a crystal

2020 ◽  
Vol 17 (168) ◽  
pp. 20200187 ◽  
Author(s):  
Silvana S. S. Cardoso ◽  
Julyan H. E. Cartwright ◽  
Antonio G. Checa ◽  
Bruno Escribano ◽  
Antonio J. Osuna-Mascaró ◽  
...  
Keyword(s):  
Crystal Growth ◽  
Lattice Model ◽  
Stingless Bees ◽  
Nucleation And Growth ◽  
Coupled Map Lattice ◽  
Three Dimensions ◽  
Crystal Nucleation ◽  
Target Pattern ◽  
Brood Comb ◽  
Molecular Scale

Stingless bees of the genus Tetragonula construct a brood comb with a spiral or a target pattern architecture in three dimensions. Crystals possess these same patterns on the molecular scale. Here, we show that the same excitable-medium dynamics governs both crystal nucleation and growth and comb construction in Tetragonula , so that a minimal coupled-map lattice model based on crystal growth explains how these bees produce the structures seen in their bee combs.

UNIFORMITY AND SPATIAL CHAOS OF SPATIAL PHYSICS KINEMATIC SYSTEM

2010 ◽  
Vol 24 (28) ◽  
pp. 5495-5503
Author(s):  
SHUTANG LIU ◽  
FUYAN SUN ◽  
JIE SUN
Keyword(s):  
Dynamical Systems ◽  
Lattice Model ◽  
Nonlinear Dynamical Systems ◽  
Coupled Map Lattice ◽  
Nonlinear Dynamical ◽  
One Dimensional ◽  
Uniform System ◽  
Spatial Chaos ◽  
Kinematic System ◽  
Bifurcation Behavior

This article summarizes the uniformity law of spatial physics kinematic systems, and studies the chaos and bifurcation behavior of the uniform system in space. In particular, it also fully explains the relation among the uniform system, the coupled map lattice model which has attracted considerable interest currently, and one-dimensional nonlinear dynamical systems.

Control of a coupled map lattice model for vortex shedding in the wake of a cylinder

Pramana ◽  
2002 ◽  
Vol 59 (1) ◽  
pp. 91-111
Author(s):  
G Balasubramanian ◽  
DJ Olinger ◽  
MA Demetriou
Keyword(s):  
Vortex Shedding ◽  
Lattice Model ◽  
Coupled Map Lattice

scholarly journals IDENTIFICATION OF EXCITABLE MEDIA USING A SCALAR COUPLED MAP LATTICE MODEL

2010 ◽  
Vol 20 (07) ◽  
pp. 2137-2150 ◽  
Author(s):  
YUZHU GUO ◽  
YIFAN ZHAO ◽  
S. A. BILLINGS ◽  
DANIEL COCA ◽  
R. I. RISTIC ◽  
...  
Keyword(s):  
Least Squares ◽  
Lattice Model ◽  
Identification Problem ◽  
Coupled Map Lattice ◽  
Excitable Media ◽  
Local Dynamics ◽  
Orthogonal Least Squares ◽  
Least Squares Algorithm ◽  
Belousov Zhabotinsky Reaction

The identification problem for excitable media is investigated in this paper. A new scalar coupled map lattice (SCML) model is introduced and the orthogonal least squares algorithm is employed to determinate the structure of the SCML model and to estimate the associated parameters. A simulated pattern and a pattern observed directly from a real Belousov–Zhabotinsky reaction are identified. The identified SCML models are shown to possess almost the same local dynamics as the original systems and are able to provide good long term predictions.

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