✦ LIBER ✦

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

✍ Scribed by K. Naito

Publisher: Elsevier Science
Year: 2001
Tongue: English
Weight: 334 KB
Volume: 47
Category: Article
ISSN: 0362-546X
DOI: 10.1016/s0362-546x(01)00487-4

No coin nor oath required. For personal study only.

✦ Synopsis

In this paper we introduce recurrent dimensions of discrete dynamical systems and we give upper and lower bounds of the recurrent dimension of the quasi-periodic orbits. We show that these bounds have different values according to the algebraic properties of the frequency and we investigate these dimensions of quasi-periodic trajectories given by solutions of a nonlinear PDE.