Circle mappings with singularities

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After a short review of the classical theory of homeomorphisms
of the circle and smoothness of conjugacy to a rigid rotation for the case of
differentiable maps, we describe some results for the case when the homeomorphism is everywhere differentiable with the exception of one or two points.
The emphasis is given on the case of two singularities where the results of [3]
and [4] are stated.
Original languageEnglish
Number of pages8
JournalDepartment of Mathematics, University of York,
Publication statusUnpublished - 2011


  • Networks and Nonlinear Dynamics, Pure Mathematics

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