Sataev, E. A. Invariant measures for singular hyperbolic attractors. (English. Russian original) Zbl 1203.37045 Sb. Math. 201, No. 3, 419-470 (2010); translation from Mat. Sb. 201, No. 3, 107-160 (2010). For a singular hyperbolic flow the existence of local strong unstable manifolds and invariant measures of Sinaĭ-Bowen-Ruelle measures is shown. Moreover, it is proved that these measures have only finitely many ergodic components and that the set of periodic trajectories is dense in each ergodic component. Reviewer: Anke Pohl (Zürich) Cited in 4 Documents MSC: 37D10 Invariant manifold theory for dynamical systems 37D30 Partially hyperbolic systems and dominated splittings 34D45 Attractors of solutions to ordinary differential equations Keywords:singular hyperbolic systems; unstable manifolds; invariant measures; ergodicity PDF BibTeX XML Cite \textit{E. A. Sataev}, Sb. Math. 201, No. 3, 419--470 (2010; Zbl 1203.37045); translation from Mat. Sb. 201, No. 3, 107--160 (2010) Full Text: DOI