title: Scroll waves in isotropic excitable media: linear instabilities, bifurcations, and restabilized states.
abstract: 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.
authors: Laboratoire de Physique Statistique, Associé au CNRS et aux Universités Paris VI et VII, Ecole Normale Supérieure, 24 rue Lhomond, 75231 Paris Cedex 05, France.
authors: Hervé
authors: H
authors: Henry
authors: Vincent
authors: V
authors: Hakim
mesh_terms: D000818:Animals; D001145:Arrhythmias, Cardiac / Q000503:physiopathology; D003198:Computer Simulation; D006321:Heart / Q000502:physiology; D006801:Humans; D017711:Nonlinear Dynamics