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Zbl 0983.37022
Metzger, Roger J.
Sinai-Ruelle-Bowen measures for contracting Lorenz maps and flows. (English)
[J] Ann. Inst. Henri Poincaré, Anal. Non Linéaire 17, No.2, 247-276 (2000). ISSN 0294-1449

This paper deals with the existence of a unique and ergodic absolutely continuous invariant measure for certain one-dimensional Lorenz-like maps. The author constructs a Sinai-Ruelle-Bowen (SRB) measure for the case of such flows and proves that the SRB measure constructed for the flow is unique.
[Messoud Efendiev (Berlin)]

MSC 2000:: *37C40 Smooth ergodic theory, invariant measures
37E05 Maps of the interval
37A99 Ergodic theory
37D25 Nonuniformly hyperbolic systems
37D50 Hyperbolic systems with singularities

Keywords: ergodic absolutely continuous measure; SRB measure; contracting Lorenz map

Cited in: Zbl 1052.37018

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