Folding a cusp into a swallowtail

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Abstract

The Hamiltonian Hopf bifurcation is described by part of a swallowtail surface. In this short note it is shown that this swallowtail is actually a non-transversally unfolded cusp singularity, and that the swallowtail surface is obtained by folding a cusp along a fold line that is tangent to the cusp and moving along the cusp.
Original languageEnglish
Place of PublicationEindhoven
PublisherTechnische Universiteit Eindhoven
Number of pages6
Publication statusPublished - 2010

Publication series

NameCASA-report
Volume1026
ISSN (Print)0926-4507

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