Existence of SRB measures for a class of partially hyperbolic attractors in Banach spaces. (English) Zbl 1360.37091
Summary: 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.
MSC:
| 37D45 | Strange attractors, chaotic dynamics of systems with hyperbolic behavior |
| 37C40 | Smooth ergodic theory, invariant measures for smooth dynamical systems |
Keywords:
SRB measure; infinite dimensional dynamical systems; partial hyperbolicity; chaotic behaviorReferences:
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