Published January 1, 2013
| Version v1
Journal article
Exponential speed of mixing for skew-products with singularities
Creators
- 1. Instituto de Matemática y Estadística (IMERL), Facultad de Ingeniería, Universidad de la República, CC30, CP 11300, Montevideo (Uruguay)
- 2. Instituto de Matemática, Universidade Federal do Rio de Janeiro, C. P. 68.530, CEP 21.945-970, Rio de Janeiro, RJ (Brazil)
- 3. Regional Norte, Universidad de la Republica, Rivera 1350, CP 50000, Salto (Uruguay)
Description
Let f : [0, 1]/{1/2} × [0, 1] → [0, 1] × [0, 1] be the C∞ endomorphism given. We prove that f is topologically mixing and if c > 1/4 then f is mixing with respect to the Lebesgue measure. Furthermore the speed of mixing is exponential. This skew-product can be seen as a toy model related to Lorenz-like attractors. (paper)
Availability note (English)
Available from http://dx.doi.org/10.1088/0951-7715/26/1/269Additional details
Identifiers
Publishing Information
- Journal Title
- Nonlinearity (Print)
- Journal Volume
- 26
- Journal Issue
- 1
- Journal Page Range
- p. 269-287
- ISSN
- 0951-7715
INIS
- Country of Publication
- United Kingdom
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 46002093
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- ATTRACTORS; CALCULATION METHODS; MATHEMATICAL MODELS; MATHEMATICAL SOLUTIONS; SINGULARITY; TOPOLOGY; VELOCITY
- Descriptors DEC
- MATHEMATICS