Attractors and orbit-flip homoclinic orbits for star flows

Morales, C.

doi:10.1090/S0002-9939-2013-11535-2

Attractors and orbit-flip homoclinic orbits for star flows
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Proc. Amer. Math. Soc. 141 (2013), 2783-2791 Request permission

Abstract:

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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