Homoclinic orbits and entropy for three-dimensional flows
classification
🧮 math.DS
keywords
entropyflowshomoclinicorbitsthree-dimensionalapproximatedcitediffeomorphisms
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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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