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Bifurcations of the global stable set of a planar endomorphism near a cusp singularity (2008)
Journal Article
Osinga, H. M., Hobbs, C. A., Hobbs, C., & Osinga, H. (2008). Bifurcations of the global stable set of a planar endomorphism near a cusp singularity. International Journal of Bifurcation and Chaos, 18(8), 2207-2222. https://doi.org/10.1142/S021812740802166X

The dynamics of a system defined by an endomorphism is essentially different from that of a system defined by a diffeomorphism due to interaction of invariant objects with the so-called critical locus. A planar endomorphism typically folds the phase... Read More about Bifurcations of the global stable set of a planar endomorphism near a cusp singularity.