The Library
Exponential decay of correlations for nonuniformly hyperbolic flows with a C1+αC1+α stable foliation, including the classical Lorenz attractor
Tools
Tools
Tools
Araújo, Vitor and Melbourne, Ian (2016) Exponential decay of correlations for nonuniformly hyperbolic flows with a C1+αC1+α stable foliation, including the classical Lorenz attractor. Annales Henri Poincaré, 17 (11). pp. 2975-3004. doi:10.1007/s00023-016-0482-9 ISSN 1424-0637.
Research output not available from this repository.
Request-a-Copy directly from author or use local Library Get it For Me service.
Official URL: http://dx.doi.org/10.1007/s00023-016-0482-9
Abstract
We prove exponential decay of correlations for a class of C1+αC1+α uniformly hyperbolic skew product flows, subject to a uniform nonintegrability condition. In particular, this establishes exponential decay of correlations for an open set of geometric Lorenz attractors. As a special case, we show that the classical Lorenz attractor is robustly exponentially mixing.
| Item Type: | Journal Article | ||||||||
|---|---|---|---|---|---|---|---|---|---|
| Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||||||
| Journal or Publication Title: | Annales Henri Poincaré | ||||||||
| Publisher: | Springer Basel AG | ||||||||
| ISSN: | 1424-0637 | ||||||||
| Official Date: | November 2016 | ||||||||
| Dates: |
|
||||||||
| Volume: | 17 | ||||||||
| Number: | 11 | ||||||||
| Page Range: | pp. 2975-3004 | ||||||||
| DOI: | 10.1007/s00023-016-0482-9 | ||||||||
| Status: | Peer Reviewed | ||||||||
| Publication Status: | Published | ||||||||
| Access rights to Published version: | Restricted or Subscription Access |
Request changes or add full text files to a record
Repository staff actions (login required)
 |
View Item |
