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Remarks on the singularity indices of Arnol'd and Berry

Published online by Cambridge University Press:  14 November 2011

David Chillingworth  and
Carmen Romero-Fuster
David Chillingworth
Affiliation:
Department of Mathematics, University of Southampton, Southampton SO9 5NH
Carmen Romero-Fuster
Affiliation:
Department of Mathematics, University of Southampton, Southampton SO9 5NH
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Synopsis

We give a coordinate-free algebraic interpretation for singularity indices of quasihomogeneous functions and their unfoldings, as first exploited systematically by Berry in statistical optics. We also make some observations on geometric interpretation, on formulae for indices, and on the difficulties of rigorous treatment for non-quasihomogeneous functions.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 94 , Issue 3-4 , 1983 , pp. 339 - 350
Copyright
Copyright © Royal Society of Edinburgh 1983

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