2011.45: Universal scaling of rotation intervals for quasi-periodically forced circle maps
2011.45: Paul Glendinning and Silvia Pina-Romero (2011) Universal scaling of rotation intervals for quasi-periodically forced circle maps.
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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 2000 > 37 Dynamical systems and ergodic theory |
| MIMS number: | 2011.45 |
| Deposited By: | Professor Paul Glendinning |
| Deposited On: | 18 June 2011 |
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