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• W2758671509 abstract "We consider a prototypical two-parameter family of invertible maps of $mathbb{Z}^2$, representing rotations with decreasing rotation number. These maps describe the dynamics inside the island chains of a piecewise affine discrete twist map of the torus, in the limit of fine discretisation. We prove that there is a set of full density of points which, depending of the parameter values, are either periodic or escape to infinity. The proof is based on the analysis of an interval-exchange map over the integers, with infinitely many intervals." @default.
• W2758671509 created "2017-10-06" @default.
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• W2758671509 date "2017-09-26" @default.
• W2758671509 modified "2023-09-27" @default.
• W2758671509 title "Nonlinear Rotations on a Lattice" @default.
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• W2758671509 hasPublicationYear "2017" @default.
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