Topological constraints on spiral wave dynamics in spherical geometries with inhomogeneous excitability

Details Topological constraints on spiral wave dynamics in spherical geometries with inhomogeneous excitability Topological constraints on spiral wave dynamics in spherical geometries with inhomogeneous excitability

2003-08-29

arxiv.org/abs/nlin/0308034v2

Phys. Rev. E 70, 056203 (2004).

Nonlinear Sciences

Pattern Formation and Solitons

5 pages, 6 Figures, major revisions, accepted for publication in Phys. Rev. E

Scientific paper

10.1103/PhysRevE.70.056203

We analyze the way topological constraints and inhomogeneity in the excitability influence the dynamics of spiral waves on spheres and punctured spheres of excitable media. We generalize the definition of an index such that it characterizes not only each spiral but also each hole in punctured, oriented, compact, two-dimensional differentiable manifolds and show that the sum of the indices is conserved and zero. We also show that heterogeneity and geometry are responsible for the formation of various spiral wave attractors, in particular, pairs of spirals in which one spiral acts as a source and a second as a sink -- the latter similar to an antispiral. The results provide a basis for the analysis of the propagation of waves in heterogeneous excitable media in physical and biological systems.

Affiliated with

Also associated with

No associations

Rating

Topological constraints on spiral wave dynamics in spherical geometries with inhomogeneous excitability 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 Topological constraints on spiral wave dynamics in spherical geometries with inhomogeneous excitability, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Topological constraints on spiral wave dynamics in spherical geometries with inhomogeneous excitability will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-257878