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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
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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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