Homoclinic orbits and entropy for three-dimensional flows
published by C. A. Morales
in 2015
and research's language is
English
Download
Abstract in English
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}.