Abstract
Along given manifolds of equilibria, bifurcations without parameters display a surprisingly rich and intricate structure of heteroclinic connections. Although manifolds of equilibria appear to be a rather degenerate feature of a vector field, the large variety of applications exhibiting this structure requires a systematic analysis of the emerging bifurcation problems. Techniques including center manifolds, normal forms and blow-up methods are indispensable for the theory.
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Liebscher, S. (2015). Summary and Outlook. In: Bifurcation without Parameters. Lecture Notes in Mathematics, vol 2117. Springer, Cham. https://doi.org/10.1007/978-3-319-10777-6_16
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DOI: https://doi.org/10.1007/978-3-319-10777-6_16
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