Abstract
Here we discuss a special situation in which we can deal with singularities of arbitrary codimension. In Chaps. 4, 8, and after normal form transformation also in Chaps. 5, 9, we removed the manifold of equilibria by multiplying with a singular factor 1∕x or 1∕r. This idea required that there is only one transverse direction to the manifold of equilibria. For such manifolds of codimension one, in phase space, we can generalize the idea.
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References
Bruce, J., Giblin, P.: Curves and Singularities, 2nd edn. Cambridge University Press, Cambridge (1992)
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Liebscher, S. (2015). Codimension-One Manifolds of Equilibria. In: Bifurcation without Parameters. Lecture Notes in Mathematics, vol 2117. Springer, Cham. https://doi.org/10.1007/978-3-319-10777-6_15
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DOI: https://doi.org/10.1007/978-3-319-10777-6_15
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