UNSPECIFIED (2006) Computation of spiral spectra. SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS, 5 (1). pp. 157-177. doi:10.1137/050624273 ISSN 1536-0040.

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Abstract

A computational linear stability analysis of spiral waves in a reaction-diffusion equation is performed on large disks. As the disk radius R increases, eigenvalue spectra converge to the absolute spectrum predicted by Sandstede and Scheel. The convergence rate is consistent with 1/R, except possibly near the edge of the spectrum. Eigenfunctions computed on large disks are compared with predicted exponential forms. Away from the edge of the absolute spectrum the agreement is excellent, while near the edge computed eigenfunctions deviate from predictions, probably due to finite-size effects. In addition to eigenvalues associated with the absolute spectrum, computations reveal point eigenvalues. The point eigenvalues and associated eigenfunctions responsible for both core and far-field breakup of spiral waves are shown.

Item Type:	Journal Article
Subjects:	Q Science > QA Mathematics Q Science > QC Physics
Journal or Publication Title:	SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS
Publisher:	SIAM PUBLICATIONS
ISSN:	1536-0040
Official Date:	2006
Dates:	Date Event 2006 UNSPECIFIED
Volume:	5
Number:	1
Number of Pages:	21
Page Range:	pp. 157-177
DOI:	10.1137/050624273
Publication Status:	Published

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