TY - JOUR
T1 - Scroll waves in isotropic excitable media
T2 - Linear instabilities, bifurcations, and restabilized states
AU - Henry, Hervé
AU - Hakim, Vincent
PY - 2002/1/1
Y1 - 2002/1/1
N2 - 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.
AB - 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.
U2 - 10.1103/PhysRevE.65.046235
DO - 10.1103/PhysRevE.65.046235
M3 - Article
AN - SCOPUS:41349085141
SN - 1539-3755
VL - 65
SP - 046235/1-046235/21
JO - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
JF - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
IS - 4
M1 - 046235
ER -