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Rational rotation numbers for homeomorphisms with several break-type singularities

Published online by Cambridge University Press:  10 January 2005

D. V. KHMELEV
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Abstract

A one-parameter family of circle homeomorphisms with several break-type singularities is considered. If one break dominates, in some sense, all the others, the rotation number is rational for almost all parameter values. Results for two break-type singularities are applied to a geometric problem and yield the typicality of periodic trajectories.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 25 , Issue 2 , April 2005 , pp. 553 - 592
Copyright
2005 Cambridge University Press

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