2002/01/25 by Hervé Henry, Herve Henry, Vincent Hakim · 1 citation
Chemistry · Computer Science · Mathematics · Physics and Astronomy · #Bifurcation #Chemistry #Classical mechanics #Excitable medium #Instability #Isotropy #Linear stability #Materials science #Mathematical analysis #Mathematics #Matrix (chemical analysis) #Mechanics #Nonlinear Dynamics and Pattern Formation #Nonlinear system #Operator (biology) #Optics #Physics #Quantum mechanics #Scroll #Spectroscopy and Quantum Chemical Studies #Spiral (railway) #Stability (learning theory) #Wavelength #cond-mat #nlin.PS #stochastic dynamics and bifurcation
paper · pdf · doi:10.1103/physreve.65.046235
published as PHYS REV E 65 (4): Art. No. 046235 Part 2A APR 2002 · 30 pages 16 figures, submitted to Phys. Rev. E
arxiv created 2002/01/25 · openalex publication_date 2002/04/11 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.