Published June 18, 2004
| Version v1
Journal article
Return time entropies for a class of circle homeomorphisms
Creators
- 1. Department of Physics and Mathematics, Faculty of Pharmacy, University of Beograd, Vojvode Stepe 450, 11000 Belgrade (Serbia and Montenegro)
Description
Poincare recurrence for a class of circle maps is used to study the properties of the corresponding invariant measures. In the subcritical case, when the map is a diffeomorphism, the return time measure is smooth, and in the critical case, when the map is only a homeomorphism, the measure is only continuous. Furthermore, in the considered class of critical maps the behaviour of the return time entropy depends only on the tail in the continued fraction expansion of the rotation number
Availability note (English)
Available online at http://stacks.iop.org/0305-4470/37/6243/a4_24_003.pdf or at the Web site for the Journal of Physics. A, Mathematical and General (ISSN 1361-6447) http://www.iop.org/Additional details
Identifiers
- URL
- http://stacks.iop.org/0305-4470/37/6243/a4_24_003.pdf; http://www.iop.org/;
- DOI
- 10.1088/0305-4470/37/24/003;
- PII
- S0305-4470(04)69291-2;
Publishing Information
- Journal Title
- Journal of Physics. A, Mathematical and General
- Journal Volume
- 37
- Journal Issue
- 24
- Journal Page Range
- p. 6243-6250
- ISSN
- 0305-4470
- CODEN
- JPHAC5
INIS
- Country of Publication
- United Kingdom
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 35068929
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- CONTINUED FRACTIONS; ENTROPY; MAPS; POINCARE GROUPS; ROTATION; SERIES EXPANSION
- Descriptors DEC
- LIE GROUPS; MOTION; PHYSICAL PROPERTIES; SYMMETRY GROUPS; THERMODYNAMIC PROPERTIES