Dynamics of kaleidoscopic maps
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Publication:1826885
DOI10.1016/S0001-8708(03)00170-1zbMath1043.37036OpenAlexW2076034133MaRDI QIDQ1826885
Publication date: 6 August 2004
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0001-8708(03)00170-1
chaosdynamical systemHausdorff dimensionergodic measureperiodic setsInvariant fractalpiecewise isometric dynamicsrotation maps
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Related Items (3)
Unnamed Item ⋮ Singularities of two-dimensional invertible piecewise isometric dynamics ⋮ Dual billiards
Cites Work
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- Entropy, Hausdorff measures old and new, and limit sets of geometrically finite Kleinian groups
- Dual polygonal billiards and necklace dynamics
- Dimension and measures for a curvilinear Sierpiński gasket or Apollonian packing
- On riddling and weak attractors
- Dynamics of a piecewise rotation
- Dynamics of piecewise isometries
- Billiards in polygons: Survey of recent results.
- On the dual billiard problem
- Elliptic behaviour in the sawtooth standard map.
- Stability of piecewise rotations and affine maps
- Embedding dynamics for round-off errors near a periodic orbit
- Dynamics of non-ergodic piecewise affine maps of the torus
- Piecewise isometries have zero topological entropy
- Nonlinear oscillations and chaos from digital filter overflow
- Properties of admissible symbolic sequences in a second-order digital filter with overflow non-linearity
- Riddling and invariance for discontinuous maps preserving Lebesgue measure
- Fractal pattern of second-order non-linear digital filters: A new symbolic analysis
- A new proof for the residual set dimension of the apollonian packing
- Chaos and fractals from third-order digital filters
- On symbolic dynamics of a chaotic second-order digital filter
- Hausdorff dimension and conformal dynamics, III: Computation of dimension
- Anomalous transport in a model of Hamiltonian round-off
- A new class of pseudo‐random number generator based on chaos in digital filters
- COMPLEX BEHAVIOR IN DIGITAL FILTERS
- Topological entropy of polygon exchange transformations and polygonal billiards
- Lossless Digital Filter Overflow Oscillations; Approximation of Invariant Fractals
- Tangencies in invariant disc packings for certain planar piecewise isometries are rare
- Dynamics of symplectic piecewise affine elliptic rotation maps on tori
- Quadratic rational rotations of the torus and dual lattice maps
- Recursive tiling and geometry of piecewise rotations by /7
- The unique ergodic measure of the symmetric piecewise toral isometry of rotation angle θ=kπ/5 is the Hausdorff measure of its singular set
- Quasi-periodicity, global stability and scaling in a model of Hamiltonian round-off
- Perturbations of 8-Attractors and Births of Satellite Systems
- Sofic subshifts and piecewise isometric systems
- Billiards in polygons
- Billiards in polygons
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