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Bogdanov-Takens Bifurcation

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Bifurcation without Parameters

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 2117))

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Abstract

In the parameter space, curves of (classical) Poincaré–Andronov–Hopf bifurcations, saddle-node bifurcations and homoclinic orbits emerge.In this chapter, we discuss the intricate patterns of heteroclinic orbits which appear near the corresponding bifurcation without parameters.

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Liebscher, S. (2015). Bogdanov-Takens Bifurcation. In: Bifurcation without Parameters. Lecture Notes in Mathematics, vol 2117. Springer, Cham. https://doi.org/10.1007/978-3-319-10777-6_10

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