The fractal dimension of quasi-periodic orbits

Research output: Contribution to journalArticle

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 ?-almost periods of these orbits, and also to the fractal dimension of these orbits. In this paper we improve these results.

Original languageEnglish
Pages (from-to)1467-1471
Number of pages5
JournalErgodic Theory and Dynamical Systems
Volume18
Issue number6
Publication statusPublished - Dec 1998

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Fractal Dimension
Periodic Orbits
Orbit
Continuous Function
Inclusion
Asymptotic Behavior
Exponent

Cite this

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title = "The fractal dimension of quasi-periodic orbits",
abstract = "Recently, Naito considered quasi-periodic orbits of H{\"o}lder continuous functions and obtained results relating the exponent in the H{\"o}lder condition to the asymptotic behaviour of the inclusion lengths of the ?-almost periods of these orbits, and also to the fractal dimension of these orbits. In this paper we improve these results.",
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year = "1998",
month = "12",
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The fractal dimension of quasi-periodic orbits. / Rynne, Bryan P.

In: Ergodic Theory and Dynamical Systems, Vol. 18, No. 6, 12.1998, p. 1467-1471.

Research output: Contribution to journalArticle

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VL - 18

SP - 1467

EP - 1471

JO - Ergodic Theory and Dynamical Systems

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