EXISTENCE OF SRB MEASURES FOR A CLASS OF PARTIALLY HYPERBOLIC ATTRACTORS IN BANACH SPACES
- Lian, Zeng
- Liu, Peidong
- Lu, Kening
Publication date
January 2017
DOI Publisher
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS ISSN
1078-0947 Journal
1078-0947Abstract
In this paper, we study the existence of SRB measures for infinite dimensional dynamical systems in a Banach space. We show that if the system has a partially hyperbolic attractor with nontrivial finite dimensional unstable directions, then it has an SRB measure.NSFC [11331007, 11541003, 11671279]; NSF [1413603]SCI(E)ARTICLE73905-39203
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