Recurrent dimensions of quasi-periodic orbits with irrational frequencies given by quasi liouville numbers

Authors
Citation
K. Naito, Recurrent dimensions of quasi-periodic orbits with irrational frequencies given by quasi liouville numbers, NONLIN ANAL, 47(6), 2001, pp. 3671-3682
Citations number
12
Language
INGLESE
art.tipo
Article
Categorie Soggetti
Mathematics
Journal title
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
ISSN journal
0362-546X → ACNP
Volume
47
Issue
6
Year of publication
2001
Part
6
Pages
3671 - 3682
Database
ISI
SICI code
0362-546X(200108)47:6<3671:RDOQOW>2.0.ZU;2-G
Abstract
In this paper we introduce recurrent dimensions of discrete dynamical syste ms and we give upper and lower bounds of the recurrent dimension of the qua si-periodic orbits. We show that these bounds have different values accordi ng to the algebraic properties of the frequency and we investigate these di mensions of quasi-periodic trajectories given by solutions of a nonlinear P DE.