Glendinning, Paul and Pina-Romero, Silvia (2011) Universal scaling of rotation intervals for quasi-periodically forced circle maps. [MIMS Preprint]
![[thumbnail of PAGfinal.pdf]](https://eprints.maths.manchester.ac.uk/style/images/fileicons/application_pdf.png) |
PDF
PAGfinal.pdf Download (448kB) |
Abstract
We introduce a simplifying assumption which makes it possible to approximate the rotation number of an invertible quasi-periodically forced circle map by an integral in the limit of large forcing. We use this to describe universal scaling laws for the width of the non-trivial rotation interval of non-invertible quasi-periodically forced circle maps in this limit, and compare the results with numerical simulations.
| Item Type: | MIMS Preprint |
|---|---|
| Additional Information: | CICADA |
| Uncontrolled Keywords: | quasi-periodic forcing, rotation intervals, chaos, universal scaling |
| Subjects: | MSC 2010, the AMS's Mathematics Subject Classification > 37 Dynamical systems and ergodic theory |
| Depositing User: | Professor Paul Glendinning |
| Date Deposited: | 18 Jun 2011 |
| Last Modified: | 08 Nov 2017 18:18 |
| URI: | https://eprints.maths.manchester.ac.uk/id/eprint/1629 |
Actions (login required)
 |
View Item |