Nonuniform hyperbolicity for singular hyperbolic attractors

Colmenárez Rodriguez, Wilmer

doi:10.1090/S0002-9947-04-03706-7

Nonuniform hyperbolicity for singular hyperbolic attractors
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by Wilmer J. Colmenárez Rodriguez PDF

Trans. Amer. Math. Soc. 357 (2005), 4131-4140 Request permission

Abstract:

In this paper we show nonuniform hyperbolicity for a class of attractors of $C^2$ flows in dimension three. These attractors are partially hyperbolic with central direction being volume expanding, contain dense periodic orbits and hyperbolic singularities of the associated vector field. Classical expanding Lorenz attractors are the main examples in this class.

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