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

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.

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.

A Coupled Map Lattice Model for Oscillatory Growth in Electrodeposition

2006 ◽  
Vol 75 (11) ◽  
pp. 114002 ◽  
Author(s):  
Hidetsugu Sakaguchi ◽  
Takashi Yoshida ◽  
Shuji Nakanishi ◽  
Kazuhiro Fukami ◽  
Yoshihiro Nakato
Keyword(s):  
Lattice Model ◽  
Coupled Map Lattice

AN ALGORITHMIC MODEL OF THE MAMMALIAN HEART: PROPAGATION, VULNERABILITY, RE-ENTRY AND FIBRILLATION

1996 ◽  
Vol 06 (09) ◽  
pp. 1623-1635 ◽  
Author(s):  
A.V. HOLDEN ◽  
M.J. POOLE ◽  
J.V. TUCKER
Keyword(s):  
Electrical Activity ◽  
Lattice Model ◽  
Fibre Orientation ◽  
Coupled Map Lattice ◽  
Mammalian Heart ◽  
Cardiac Ventricles ◽  
Concurrent Algorithms ◽  
Algorithmic Model

The theory of synchronous concurrent algorithms is outlined and applied to the construction of an anisotropic coupled map lattice model of electrical activity in the mammalian cardiac ventricles, derived from anatomical measurements of geometry and fibre orientation. The model is used to illustrate propagation, vulnerability, re-entry and fibrillation.

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