scholarly journals Effects of randomization of characteristic times on spiral wave generation in a simple cellular automaton model of excitable media

AIP Advances ◽  
2020 ◽  
Vol 10 (8) ◽  
pp. 085116
Author(s):  
Vincent Vangelista ◽  
Karl Amjad-Ali ◽  
Minhyeok Kwon ◽  
Paulo H. Acioli
Keyword(s):  
Cellular Automaton ◽  
Spiral Wave ◽  
Wave Generation ◽  
Cellular Automaton Model ◽  
Excitable Media

A Simple Three-States Cellular Automaton for Modelling Excitable Media

1998 ◽  
Vol 12 (05) ◽  
pp. 601-607 ◽  
Author(s):  
M. Andrecut
Keyword(s):  
Wave Propagation ◽  
Partial Differential Equations ◽  
Cellular Automata ◽  
Differential Equations ◽  
Cellular Automaton ◽  
Cellular Automaton Model ◽  
Excitable Media ◽  
Self Organization ◽  
Partial Differential ◽  
Bz Reaction

Wave propagation in excitable media provides an important example of spatiotemporal self-organization. The Belousov–Zhabotinsky (BZ) reaction and the impulse propagation along nerve axons are two well-known examples of this phenomenon. Excitable media have been modelled by continuous partial differential equations and by discrete cellular automata. Here we describe a simple three-states cellular automaton model based on the properties of excitation and recovery that are essential to excitable media. Our model is able to reproduce the dynamics of patterns observed in excitable media.

A cellular automaton model of excitable media IV. Untwisted scroll rings

1991 ◽  
Vol 50 (2) ◽  
pp. 189-206 ◽  
Author(s):  
Martin Gerhardt ◽  
Heike Schuster ◽  
John J. Tyson
Keyword(s):  
Cellular Automaton ◽  
Cellular Automaton Model ◽  
Excitable Media

A cellular automaton model of excitable media

1990 ◽  
Vol 46 (3) ◽  
pp. 392-415 ◽  
Author(s):  
Martin Gerhardt ◽  
Heike Schuster ◽  
John J. Tyson
Keyword(s):  
Cellular Automaton ◽  
Cellular Automaton Model ◽  
Excitable Media

scholarly journals The cellular automaton model for the nonlinear waves in the two-dimensional excitable media

2009 ◽  
Vol 58 (7) ◽  
pp. 4493
Author(s):  
Zhang Li-Sheng ◽  
Deng Min-Yi ◽  
Kong Ling-Jiang ◽  
Liu Mu-Ren ◽  
Tang Guo-Ning
Keyword(s):  
Cellular Automaton ◽  
Nonlinear Waves ◽  
Cellular Automaton Model ◽  
Excitable Media ◽  
Two Dimensional

Spiral Wave Generation in Heterogeneous Excitable Media

2002 ◽  
Vol 88 (5) ◽  
Author(s):  
Gil Bub ◽  
Alvin Shrier ◽  
Leon Glass
Keyword(s):  
Spiral Wave ◽  
Wave Generation ◽  
Excitable Media

A Lattice-Gas Cellular Automaton Model for Discrete Excitable Media

2019 ◽  
pp. 253-264 ◽  
Author(s):  
Simon Syga ◽  
Josué M. Nava-Sedeño ◽  
Lutz Brusch ◽  
Andreas Deutsch
Keyword(s):  
Cellular Automaton ◽  
Lattice Gas ◽  
Cellular Automaton Model ◽  
Excitable Media

A cellular automaton model of excitable media

1990 ◽  
Vol 46 (3) ◽  
pp. 416-426 ◽  
Author(s):  
Martin Gerhardt ◽  
Heike Schuster ◽  
John J. Tyson
Keyword(s):  
Cellular Automaton ◽  
Cellular Automaton Model ◽  
Excitable Media

Spiral Waves in a Cyclic Cellular Automaton Model for Excitable Media

1997 ◽  
Vol 11 (30) ◽  
pp. 1327-1334 ◽  
Author(s):  
Mircea Andrecut
Keyword(s):  
Cellular Automaton ◽  
Complex Dynamics ◽  
Chaotic Behavior ◽  
Spiral Waves ◽  
Cellular Automaton Model ◽  
Excitable Media ◽  
Self Organization ◽  
Active Systems ◽  
Point Correlation ◽  
Spatio Temporal

We present a cyclic cellular automaton for excitable media. The model exhibits the complex dynamics of patterns observed in excitable media. Spatial patterns dynamics provides an important example of spatio-temporal self-organization in distributed active systems. The global behavior of the cellular automaton model is described in terms of point correlation functions. The Fouries analysis pointed out the quasi-oscillatory and chaotic behavior of these functions.

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