Abstract
The subject of this paper is the unfolding of a singularity of vector fields in which a cusp and a degenerate Hopf bifurcation coalesce. This singularity has codimension four and appears in the mean field equations underlying optically bistable systems. We discuss the singularities of codimension smaller than four that occur as subsidiary bifurcations of the unfolding and present a two-dimensional section through the stability diagram.
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Dangelmayr, G., Wegelin, M. (1991). On a codimension-four bifurcation occurring in optical bistability. In: Roberts, M., Stewart, I. (eds) Singularity Theory and its Applications. Lecture Notes in Mathematics, vol 1463. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0085428
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DOI: https://doi.org/10.1007/BFb0085428
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