The structure of mode-locked regions in quasi-periodically forced circle maps

Citation
P. Glendinning et al., The structure of mode-locked regions in quasi-periodically forced circle maps, PHYSICA D, 140(3-4), 2000, pp. 227-243
Citations number
18
Categorie Soggetti
Physics
Journal title
PHYSICA D
ISSN journal
01672789 → ACNP
Volume
140
Issue
3-4
Year of publication
2000
Pages
227 - 243
Database
ISI
SICI code
0167-2789(20000615)140:3-4<227:TSOMRI>2.0.ZU;2-H
Abstract
Using a mixture of analytic and numerical techniques we show that the mode- locked regions of quasi-periodically forced Arnold circle maps form complic ated sets in parameter space. These sets are characterized by 'pinched-off' regions, where the width of the mode-locked region becomes very small. By considering general quasi-periodically forced circle maps we show that this pinching occurs in a broad class of such maps having a simple symmetry. (C ) 2000 Elsevier Science B.V. All rights reserved.