Attractors and orbit-flip homoclinic orbits for star flows

Details Attractors and orbit-flip homoclinic orbits for star flows Attractors and orbit-flip homoclinic orbits for star flows

2011-10-18

arxiv.org/abs/1110.4001v1

Mathematics

Dynamical Systems

9 pages, 2 figures

Scientific paper

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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