Near-integrable behaviour in a family of discretised rotations

We consider a one-parameter family of invertible maps of a twodimensional lattice, obtained by applying round-o to planar rotations. All orbits of these maps are conjectured to be periodic. We let the angle of rotation approach =2, and show that the limit of vanishing discretisation is described by...

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Bibliographic Details
Main Author: Reeve-Black, Heather
Published: Queen Mary, University of London 2014
Subjects:
515
Online Access:https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.667303