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arxiv: 1110.4001 · v1 · pith:YH3UER3Snew · submitted 2011-10-18 · 🧮 math.DS

Attractors and orbit-flip homoclinic orbits for star flows

classification 🧮 math.DS
keywords attractorsflowshomoclinicorbit-fliporbitsstarapproximatedclosed
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We study star flows on closed 3-manifolds and prove that they either have a finite number of attractors or can be $C^1$ approximated by vector fields with orbit-flip homoclinic orbits.

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