Scroll waves in isotropic excitable media : linear instabilities, bifurcations and restabilized states

Details Scroll waves in isotropic excitable media : linear instabilities, bifurcations and restabilized states Scroll waves in isotropic excitable media : linear instabilities, bifurcations and restabilized states

2002-01-25

arxiv.org/abs/cond-mat/0201467v1

PHYS REV E 65 (4): Art. No. 046235 Part 2A APR 2002

Physics

Condensed Matter

30 pages 16 figures, submitted to Phys. Rev. E

Scientific paper

10.1103/PhysRevE.65.046235

Scroll waves are three-dimensional analogs of spiral waves. The linear stability spectrum of untwisted and twisted scroll waves is computed for a two-variable reaction-diffusion model of an excitable medium. Different bands of modes are seen to be unstable in different regions of parameter space. The corresponding bifurcations and bifurcated states are characterized by performing direct numerical simulations. In addition, computations of the adjoint linear stability operator eigenmodes are also performed and serve to obtain a number of matrix elements characterizing the long-wavelength deformations of scroll waves.

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