Wave propagation and suppression in excitable media with holes and external forcing

2002 ◽  
Vol 13 (6) ◽  
pp. 1243-1251 ◽  
Author(s):  
J.I. Ramos
Keyword(s):  
Wave Propagation ◽  
Excitable Media ◽  
External Forcing

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

scholarly journals Diffusion and wave propagation in cellular automaton models of excitable media

1992 ◽  
Vol 55 (3-4) ◽  
pp. 309-327 ◽  
Author(s):  
Jörg R. Weimar ◽  
John J. Tyson ◽  
Layne T. Watson
Keyword(s):  
Wave Propagation ◽  
Cellular Automaton ◽  
Excitable Media

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.

Resonance Induced Pacemakers: A New Class of Organizing Centers for Wave Propagation in Excitable Media

2001 ◽  
Vol 87 (23) ◽  
Author(s):  
P. Parmananda ◽  
Hitoshi Mahara ◽  
Takashi Amemiya ◽  
Tomohiko Yamaguchi
Keyword(s):  
Wave Propagation ◽  
Excitable Media ◽  
New Class

Wave propagation in heterogeneous excitable media

1998 ◽  
Vol 57 (4) ◽  
pp. 3905-3910 ◽  
Author(s):  
I. Schebesch ◽  
H. Engel
Keyword(s):  
Wave Propagation ◽  
Excitable Media
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