On the validity of the 0–1 test for chaos

and

Published 7 May 2009 • 2009 IOP Publishing Ltd and London Mathematical Society
, , Citation Georg A Gottwald and Ian Melbourne 2009 Nonlinearity 22 1367 DOI 10.1088/0951-7715/22/6/006

Download Article PDF

Article metrics

476 Total downloads

Share this article

Author affiliations

1 School of Maths and Stats, University of Sydney, NSW 2006, Australia

2 Department of Maths, University of Surrey, Guildford GU2 7XH, UK

Dates

  1. Received 18 December 2008
  2. Published

Buy this article in print

Journal RSS
Sign up for new issue notifications
0951-7715/22/6/1367

Abstract

In this paper, we present a theoretical justification of the 0–1 test for chaos. In particular, we show that with probability one, the test yields 0 for periodic and quasiperiodic dynamics, and 1 for sufficiently chaotic dynamics.

Export citation and abstract BibTeX RIS

Previous article in issue
Next article in issue

Recommended by L-S Young

10.1088/0951-7715/22/6/006