Transverse surfaces and attractors for 3-flows

Colmenarez, W.; Morales, C.

doi:10.1090/S0002-9947-01-02822-7

Transverse surfaces and attractors for 3-flows
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by W. J. Colmenarez and C. A. Morales PDF

Trans. Amer. Math. Soc. 354 (2002), 795-806 Request permission

Abstract:

We prove that a hyperbolic strange attractor of a three-dimensional vector field is a suspension if it exhibits a transverse surface over which the unstable manifold induces a lamination without closed leaves. We also study the topological equivalence of singular attractors exhibiting transverse surfaces for three-dimensional vector fields.

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