DEFECT-INDUCED PROPAGATION IN EXCITABLE MEDIA

2003 ◽  
Vol 13 (10) ◽  
pp. 3125-3133 ◽  
Author(s):  
ZHIGANG ZHENG ◽  
MICHAEL C. CROSS
Keyword(s):  
Wave Propagation ◽  
Coupling Strength ◽  
Excitable Media ◽  
Dynamical Transition ◽  
Wave Dynamics ◽  
Propagation Failure ◽  
Local Wave

Wave dynamics in the coupled FitzHugh–Nagumo oscillators with pacemaker defects is studied. It is found that with increasing the coupling strength, the lattice experiences a dynamical transition from a local wave to the global propagation. For large enough coupling, a transition from global wave propagation to the propagation failure can be observed. Noise-enhanced wave propagation in the propagation-failure regime is revealed.

SUPPRESSING SPIRAL WAVES IN EXCITABLE MEDIA VIA UNIDIRECTIONAL COUPLING

2008 ◽  
Vol 22 (24) ◽  
pp. 4153-4161 ◽  
Author(s):  
YU QIAN ◽  
YU XUE ◽  
GUANG-ZHI CHEN
Keyword(s):  
Co Oxidation ◽  
Power Law ◽  
Coupling Strength ◽  
Control Method ◽  
Spiral Waves ◽  
Coupling Method ◽  
Excitable Media ◽  
Catalytic Co Oxidation ◽  
Unidirectional Coupling ◽  
High Control

A unidirectional coupling method to successfully suppress spiral waves in excitable media is proposed. It is shown that this control method has high control efficiency and is robust. It adapts to control of spiral waves for catalytic CO oxidation on platinum as well as for the FHN model. The power law n ~ c-k of control time steps n versus the coupling strength c for different models has been obtained.

Asymptotic wave propagation in excitable media

2015 ◽  
Vol 92 (1) ◽  
Author(s):  
Olivier Bernus ◽  
Edward Vigmond
Keyword(s):  
Wave Propagation ◽  
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.

Wave Propagation in Spatially Distributed Excitable Media

2003 ◽  
Vol 63 (2) ◽  
pp. 485-509 ◽  
Author(s):  
Jianbo Yang ◽  
John H. Merkin ◽  
Serafim Kalliadasis ◽  
Stephen K. Scott
Keyword(s):  
Wave Propagation ◽  
Excitable Media ◽  
Spatially Distributed
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