Hostname: page-component-848d4c4894-x5gtn Total loading time: 0 Render date: 2024-05-14T09:38:19.308Z Has data issue: false hasContentIssue false
  • English
  • Français

The fractal dimension of quasi-periodic orbits

Published online by Cambridge University Press:  01 December 1998

BRYAN P. RYNNE
BRYAN P. RYNNE
Affiliation:
Department of Mathematics, Heriot-Watt University, Riccarton, Edinburgh EH14 4AS, UK (e-mail: bryan@ma.hw.ac.uk)
Get access Rights & Permissions [Opens in a new window]

Abstract

Recently, Naito considered quasi-periodic orbits of Hölder continuous functions and obtained results relating the exponent in the Hölder condition to the asymptotic behaviour of the inclusion lengths of the $\epsilon$-almost periods of these orbits, and also to the fractal dimension of these orbits. In this paper we improve these results.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 18 , Issue 6 , December 1998 , pp. 1467 - 1471
Copyright
1998 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)