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

By B Sandstede and A Scheel


<p>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.</p

Year: 2006
DOI identifier: 10.1103/PhysRevE.73.016217
OAI identifier:

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