Aperiodic orbits of piecewise rational rotations of convex polygons with recursive tiling
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Publication:3436054
DOI10.1080/14689360601028100zbMath1130.37325OpenAlexW2063804499MaRDI QIDQ3436054
Publication date: 8 May 2007
Published in: Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/14689360601028100
Fractals (28A80) Symbolic dynamics (37B10) Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05) Rotation numbers and vectors (37E45)
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Cites Work
- Non-ergodic interval exchange transformations
- Dynamics of a piecewise rotation
- Spectra of dimensions for Poincaré recurrences
- Elliptic behaviour in the sawtooth standard map.
- A theorem on the Markov periodic approximation in ergodic theory
- Stability of piecewise rotations and affine maps
- Dynamics of non-ergodic piecewise affine maps of the torus
- Substitutional dynamical systems, Bratteli diagrams and dimension groups
- Symbolic dynamics for sticky sets in Hamiltonian systems
- Dynamics of symplectic piecewise affine elliptic rotation maps on tori
- Rotations by /7
- Quadratic rational rotations of the torus and dual lattice maps
- Recursive tiling and geometry of piecewise rotations by /7
- Quasi-periodicity, global stability and scaling in a model of Hamiltonian round-off
- Self-similarity in piecewise isometric systems
- Weak mixing and anomalous kinetics along filamented surfaces
- Numerical analysis for a discontinuous rotation of the torus
- Sticky orbits in a kicked-oscillator model
