The fractal dimension of quasi-periodic orbits

Authors
Rynne, BP
Citation
Bp. Rynne, The fractal dimension of quasi-periodic orbits, ERGOD TH DY, 18, 1998, pp. 1467-1471
Citations number
4
Categorie Soggetti
Mathematics
Journal title
ERGODIC THEORY AND DYNAMICAL SYSTEMS
ISSN journal
01433857 → ACNP
Volume
18
Year of publication
1998
Part
6
Pages
1467 - 1471
Database
ISI
SICI code
0143-3857(199812)18:<1467:TFDOQO>2.0.ZU;2-A
Abstract
Recently, Naito considered quasi-periodic orbits of Holder continuous funct ions and obtained results relating the exponent in the Holder condition to the asymptotic behaviour of the inclusion lengths of the epsilon-almost per iods of these orbits, and also to the fractal dimension of these orbits. In this paper we improve these results.