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Rational rotation numbers for homeomorphisms with several break-type singularities
Published online by Cambridge University Press: 10 January 2005
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.
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- 2005 Cambridge University Press
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