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Invariant measures for singular hyperbolic attractors

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Publication:3577771
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DOI10.1070/SM2010v201n03ABEH004078zbMath1203.37045MaRDI QIDQ3577771

E. A. Sataev

Publication date: 23 July 2010

Published in: Sbornik: Mathematics (Search for Journal in Brave)


zbMATH Keywords

ergodicityinvariant measuresunstable manifoldssingular hyperbolic systems


Mathematics Subject Classification ID

Invariant manifold theory for dynamical systems (37D10) Partially hyperbolic systems and dominated splittings (37D30) Attractors of solutions to ordinary differential equations (34D45)


Related Items (8)

SRB measures of singular hyperbolic attractors ⋮ Homoclinic classes for sectional-hyperbolic sets ⋮ Upper large deviations bound for singular-hyperbolic attracting sets ⋮ On the number of ergodic physical/SRB measures of singular-hyperbolic attracting sets ⋮ Ghost attractors in blinking Lorenz and Hindmarsh–Rose systems ⋮ Physical measures for partially hyperbolic flows with mostly contracting centre ⋮ A Lorenz-type attractor in a piecewise-smooth system: Rigorous results ⋮ Finitely many physical measures for sectional-hyperbolic attracting sets and statistical stability




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