Nonlinear Sciences – Pattern Formation and Solitons
Scientific paper
1997-01-08
Nonlinear Sciences
Pattern Formation and Solitons
6 pages, submitted to PRE Rapid Comm
Scientific paper
10.1103/PhysRevE.55.R3847
Spiral waves are a ubiquitous feature of the nonequilibrium dynamics of a great variety of excitable systems. In the limit of a large separation in timescale between fast excitation and slow recovery, one can reduce the spiral problem to one involving the motion of a free surface separating the excited and quiescent phases. In this work, we study the free surface problem in the limit of small diffusivity for the slow field variable. Specifically, we show that a previously found spiral solution in the diffusionless limit can be extended to finite diffusivity, without significant alteration. This extension involves the creation of a variety of boundary layers which cure all the undesirable singularities of the aforementioned solution. The implications of our results for the study of spiral stability are briefly discussed.
Kessler David A.
Levine Herbert
No associations
LandOfFree
Diffusive Boundary Layers in the Free-Surface Excitable Medium Spiral does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Diffusive Boundary Layers in the Free-Surface Excitable Medium Spiral, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Diffusive Boundary Layers in the Free-Surface Excitable Medium Spiral will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-479299