Henon-like attractors in arbitrary dimensions: SRB measures and basin problem

Nivaldo Muniz

Keywords: Henon attractor; basin problem;

\begin{abstract} We prove that Hénon-like strange attractors of diffeomorphisms in any dimensions, such as considered in \cite{BC2},\cite{MV},\cite{Vi} support a unique Sinai-Ruelle-Bowen (SRB) measure and have the no-holes property: Lebesgue almost every point in the basin of attraction is generic for the SRB measure. This extends two-dimensional results of Benedicks-Young \cite{BY2} and Benedicks-Viana \cite{BV1}, respectively. \end{abstract}

Anexos:

• nmuniz_tese.ps