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Dynamical Systems
An International Journal
Volume 27, 2012 - Issue 1: Jaroslav Stark Memorial Issue
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Original Articles

Universal scaling of rotation intervals for quasi-periodically forced circle maps

Paul Glendinning Centre for Interdisciplinary Computational and Dynamical Analysis (CICADA), University of Manchester, Manchester M13 9PL, UK; School of Mathematics, University of Manchester, Manchester M13 9PL, UKCorrespondence[email protected]
&
Silvia Pina-Romero School of Mathematics, University of Manchester, Manchester M13 9PL, UK
Pages 45-56 | Received 16 Jun 2011, Accepted 30 Oct 2011, Published online: 22 Mar 2012

References

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  • Glendinning , P , Jäger , T and Stark , J . 2009 . Strangely dispersed minimal sets in the quasiperiodically forced Arnold circle map . Nonlinearity , 22 : 835 – 854 .
  • Herman , MR . 1983 . Une méthode pour minorer les exposants de Lyapounov et quelques exemples montrant le caractere local d'un théoreme d'Arnold et de Moser sur le tore de dimsnsion 2 Comment . Math. Helv , 58 : 453 – 502 .
  • Stark , J , Feudel , U , Glendinning , P and Pikovsky , A . 2002 . Rotation numbers for quasiperiodically forced monotone circle maps . Dyn. Syst. , 17 : 1 – 28 .
  • https://secure.wikimedia.org/wikipedia/en/wiki/Kolmogorov%E2%80%93Smirnov_test (accessed 5 May 2011)

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