Invariant measures for singular hyperbolic attractors
Journal Article
·
· Sbornik. Mathematics
- Obninsk State Technical University for Nuclear Power Engineering, Obninsk, Kaluzhskaya obl. (Russian Federation)
This paper continues the author's previous paper, where strong unstable spaces were constructed for a singular hyperbolic attractor. In this paper the existence of local strongly unstable manifolds and invariant measures of Sinai-Bowen-Ruelle type is established. The properties of such measures are studied. It is proved that the number of ergodic components is finite and the set of periodic trajectories is dense. Bibliography: 34 titles.
- OSTI ID:
- 21418059
- Journal Information:
- Sbornik. Mathematics, Vol. 201, Issue 3; Other Information: DOI: 10.1070/SM2010v201n03ABEH004078; ISSN 1064-5616
- Country of Publication:
- United States
- Language:
- English
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