Cantori for symplectic maps near the anti-integrable limit

and

Published under licence by IOP Publishing Ltd
, , Citation R S Mackay and J D Meiss 1992 Nonlinearity 5 149 DOI 10.1088/0951-7715/5/1/006

Download Article PDF

Article metrics

184 Total downloads

Share this article

Author affiliations

1 Nonlinear Syst. Lab., Math. Inst., Warwick Univ., Coventry, UK

Buy this article in print

Journal RSS
Sign up for new issue notifications
0951-7715/5/1/149

Abstract

The authors prove the existence of 'cantori' of all incommensurate rotation vectors, for symplectic maps of arbitrary dimension near enough to any non-degenerate anti-integrable limit, and derive an asymptotic form for them. Cantori are invariant Cantor sets which can be thought of as remnants of KAM tori.

Export citation and abstract BibTeX RIS

Previous article in issue
Next article in issue
10.1088/0951-7715/5/1/006