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Curvature Effects on Spiral Spectra: Generation of Point Eigenvalues Near Branch Points

Sandstede, B and Scheel, A (2006) Curvature Effects on Spiral Spectra: Generation of Point Eigenvalues Near Branch Points Physical Review E, 73 (1). ISSN 1539-3755

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Abstract

It is shown that spiral waves may possess many isolated point eigenvalues that appear near branch points of the linear dispersion relation. These eigenvalues are created by the same mechanism that leads to infinitely many bound states for selfadjoint Schrodinger operators with sufficiently weakly decaying long-range potentials. For spirals, the weak decay of the potential is due to the curvature effects on the profile of the spiral in an intermediate spatial range that separates the spiral core from the far field.

Item Type: Article
Additional Information: Published in <i>Physical Review E,</i> Vol. 73, Iss. 1, Pt. 2. Copyright 2006 American Physical Society. Click <a href=http://pre.aps.org/>here</a> to access the journal's website.
Divisions: Faculty of Engineering and Physical Sciences > Mathematics
Depositing User: Mr Adam Field
Date Deposited: 27 May 2010 14:09
Last Modified: 23 Sep 2013 18:28
URI: http://epubs.surrey.ac.uk/id/eprint/435

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