Abstract
In this chapter we study the Poincaré-Andronov-Hopf bifurcation without parameters, see Chap. 5, with an additional degeneracy of the drift or transversality due to an additional parameter or an additional dimension of the primary manifold of equilibria.
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Vanderbauwhede, A.: Centre manifolds, normal forms and elementary bifurcations. In: Kirchgraber, U., Walther, H.O. (eds.) Dynamics Reported 2, pp. 89–169. Teubner & Wiley, Stuttgart (1989)
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Liebscher, S. (2015). Degenerate Poincaré-Andronov-Hopf Bifurcation. In: Bifurcation without Parameters. Lecture Notes in Mathematics, vol 2117. Springer, Cham. https://doi.org/10.1007/978-3-319-10777-6_9
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DOI: https://doi.org/10.1007/978-3-319-10777-6_9
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