Basin problem for Hénon-like attractors in arbitrary dimensions
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We prove that Hénon-like strange attractors of diffeomorphisms in any dimensions, such as considered in [2],[7], and [9] support a unique Sinai-Ruelle-Bowen (SRB) measure and have the no-hole property: Lebesgue almost every point in the basin of attraction is generic for the SRB measure. This extends two-dimensional results of Benedicks-Young [4] and Benedicks-Viana [3], respectively.
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Hénon-like attractor, Non-uniformly hyperbolic system, SRB measure
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Inglês
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Discrete and Continuous Dynamical Systems, v. 15, n. 2, p. 481-504, 2006.
