Abstract
Along two-dimensional equilibrium manifolds, we expect transcritical points, Chap. 4, to form one-dimensional curves, by the implicit-function theorem. At isolated points, one of the non-degeneracy conditions (4.8, 4.9) may fail and codimension-two singularities appear. We shall discuss these degeneracies, first in a one-parameter-family of lines of equilibria and then along a two-dimensional equilibrium surface.
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Liebscher, S. (2015). Degenerate Transcritical Bifurcation. In: Bifurcation without Parameters. Lecture Notes in Mathematics, vol 2117. Springer, Cham. https://doi.org/10.1007/978-3-319-10777-6_8
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DOI: https://doi.org/10.1007/978-3-319-10777-6_8
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