Perturbations of 8-Attractors and Births of Satellite Systems
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Publication:4941354
DOI10.1142/S0218127498001613zbMath0956.37029MaRDI QIDQ4941354
Publication date: 8 August 2000
Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)
Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Symbolic dynamics (37B10) Dynamical systems involving maps of the interval (37E05) General groups of measure-preserving transformations and dynamical systems (37A15)
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Dynamical properties of 2-torus parabolic maps ⋮ The unique ergodic measure of the symmetric piecewise toral isometry of rotation angle θ=kπ/5 is the Hausdorff measure of its singular set ⋮ Piecewise rotations: limit set for the non-bijective maps ⋮ Linked twist map formalism in two and three dimensions applied to mixing in tumbled granular flows ⋮ Piecewise isometries: Applications in engineering ⋮ On codings and dynamics of planar piecewise rotations ⋮ Polygonal invariant curves for a planar piecewise isometry ⋮ Dynamical behaviors and codings of invertible planar piecewise isometric systems ⋮ Global attractors and invariant measures for non-invertible planar piecewise isometric maps ⋮ On global attractors for a class of nonhyperbolic piecewise affine maps ⋮ Tangents-free property in invariant disk packings generated by some general planar piecewise isometries ⋮ Piecewise contractions are asymptotically periodic ⋮ Tangencies in invariant disc packings for certain planar piecewise isometries are rare ⋮ Hamiltonian mappings and circle packing phase spaces: numerical investigations ⋮ Dynamics of kaleidoscopic maps ⋮ Singularities of two-dimensional invertible piecewise isometric dynamics
Cites Work
- Cutting and stacking, interval exchanges and geometric models
- A condition for minimal interval exchange maps to be uniquely ergodic
- Interval exchange transformations and some special flows are not mixing
- Rectangle exchange transformations
- Gauss measures for transformations on the space of interval exchange maps
- Interval exchange transformations and measured foliations
- Dual polygonal billiards and necklace dynamics
- Dynamics for rotation pseudogroups
- Dynamics of a piecewise rotation
- Billiards in polygons: Survey of recent results.
- Chaos and fractals from third-order digital filters
- COMPLEX BEHAVIOR IN DIGITAL FILTERS
- Topological entropy of polygon exchange transformations and polygonal billiards
- Interval translation mappings
- Interval exchange transformations
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