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arXiv · 1509.07770

Homoclinic orbits and entropy for three-dimensional flows

A. M. Lopez·R. J. Metzger·C. A. Morales
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Abstract

We prove that every $C^1$ three-dimensional flow with positive topological entropy can be $C^1$ approximated by flows with homoclinic orbits. This extends a previous result for $C^1$ surface diffeomorphisms \cite{g}.

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A. M. Lopez, R. J. Metzger, C. A. Morales. 2015-09-25. Homoclinic orbits and entropy for three-dimensional flows. https://arxiv.org/abs/1509.07770

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