The eikonal approximation to excitable reaction-diffusion systems: travelling non-planar wave fronts on the plane

1996 ◽  
Vol 89 (3-4) ◽  
pp. 329-345 ◽  
Author(s):  
Anthony J. Mulholland ◽  
Jagannathan Gomatam
Keyword(s):  
Eikonal Approximation ◽  
Reaction Diffusion ◽  
Wave Fronts ◽  
Reaction Diffusion Systems ◽  
Diffusion Systems ◽  
Planar Wave

Kinetic conditions for the existence of wave fronts in reaction-diffusion systems

1986 ◽  
Vol 103 (1-2) ◽  
pp. 161-177 ◽  
Author(s):  
José M. Fraile ◽  
José Sabina
Keyword(s):  
Plane Wave ◽  
Propagation Velocity ◽  
Reaction Diffusion ◽  
Wave Fronts ◽  
Reaction Diffusion Systems ◽  
Diffusion Systems ◽  
Partial Invariance

SynopsisThis paper deals with the existence of bounded plane wave fronts of reaction-diffusion systems. The main result ensures the partial invariance of a certain region, under kinetic conditions commonly used in the literature. This allows us to construct bounded plane wave fronts taking their values in that domain. We also give an estimate of the minimum permissible value of the propagation velocity of those plane wave fronts. Some examples are given.

Frequency-Locking Phenomena of Propagating Wave Fronts in Reaction-Diffusion Systems

2005 ◽  
Vol 94 (12) ◽  
Author(s):  
Lu-Qun Zhou ◽  
Iris Cassidy ◽  
S. C. Müller ◽  
Xi Cheng ◽  
Guan Huang ◽  
...  
Keyword(s):  
Reaction Diffusion ◽  
Frequency Locking ◽  
Wave Fronts ◽  
Reaction Diffusion Systems ◽  
Diffusion Systems ◽  
Locking Phenomena

Collapse of wave fronts in reaction-diffusion systems

1992 ◽  
Vol 168 (2) ◽  
pp. 133-139 ◽  
Author(s):  
V. Pérez-Muñuzuri ◽  
M. Gómez-Gesteira ◽  
V. Pérez-Villar ◽  
P. Hanusse
Keyword(s):  
Reaction Diffusion ◽  
Wave Fronts ◽  
Reaction Diffusion Systems ◽  
Diffusion Systems
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