Title: A computer-assisted study of pulse dynamics in anisotropic media
Authors: Krishnan, J ×
Engelborghs, Koen
Bar, M
Lust, Kurt
Roose, Dirk
Kevrekidis, IG #
Issue Date: Jun-2001
Publisher: North-Holland
Series Title: Physica D. Nonlinear phenomena vol:154 issue:1-2 pages:85-110
Abstract: This study focuses on the computer-assisted stability analysis of travelling pulse-like structures in spatially periodic heterogeneous reaction-diffusion media. The physical motivation comes from pulse propagation in thin annular domains on a diffusionally anisotropic catalytic surface. The study was performed by computing the travelling pulse-like structures as limit cycles of the spatially discretized PDE, which in turn is performed in two ways: a Newton method based on a pseudospectral discretization of the PDE, and a Newton-Picard method based on a finite difference discretization. Details about the spectra of these modulated pulse-like structures are discussed, including how they may be compared with the spectra of pulses in homogeneous media. The effects of anisotropy on the dynamics of pulses and pulse pairs are studied. Beyond shifting the location of bifurcations present in homogeneous media, anisotropy can also introduce certain new instabilities. (C) 2001 Elsevier Science B.V. All rights reserved.
ISSN: 0167-2789
Publication status: published
KU Leuven publication type: IT
Appears in Collections:Numerical Analysis and Applied Mathematics Section
× corresponding author
# (joint) last author

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