2 papers
math.DS2025
Scaling of the rotation number for perturbations of rational rotations
Paul Glendinning
The parameter dependence of the rotation number in families of circle maps which are perturbations of rational rotations is described. We show that if, at a critical parameter valu…
math.DS2025
Piecewise linear circle maps and conjugation to rigid rational rotations
Paul Glendinning, Siyuan Ma, James Montaldi
Criteria for piecewise linear circle homeomorphisms to be conjugate to a rigid rotation, , with rational rotation number are given. The consequences o…