Abstract
We consider zero-noise limits of random perturbations of dynamical systems and examine, in terms of the continuity of entropy and Lyapunov exponents, circumstances under which these limits are Sinai-Ruelle-Bowen (SRB) measures. The ideas of this general discussion are then applied to specific classes of attractors. We prove, for example, that partially hyperbolic attractors with one-dimensional center subbundles always admit SRB measures.
Original language | English (US) |
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Pages (from-to) | 1115-1138 |
Number of pages | 24 |
Journal | Ergodic Theory and Dynamical Systems |
Volume | 25 |
Issue number | 4 |
DOIs | |
State | Published - Aug 2005 |
ASJC Scopus subject areas
- General Mathematics
- Applied Mathematics