Global attractors and invariant measures for non-invertible planar piecewise isometric maps

DOI10.1016/j.physleta.2007.06.033zbMath1209.37042OpenAlexW1987687685MaRDI QIDQ716031

Xin-Chu Fu, Jin-qiao Duan

Publication date: 19 April 2011

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physleta.2007.06.033

zbMATH Keywords

global attractorinvariant measurepiecewise isometrydiscontinuous mapnon-invertible discrete dynamical system

Mathematics Subject Classification ID

Dynamical aspects of measure-preserving transformations (37A05) Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05) Dynamical systems with hyperbolic behavior (37D99)

Related Items (6)

Invariant measures of torus piecewise isometries ⋮ Random attractors for stochastic Ginzburg-Landau equation on unbounded domains ⋮ Unnamed Item ⋮ Invariant measures for planar piecewise isometries ⋮ On global attractors for a class of nonhyperbolic piecewise affine maps ⋮ Invariant measures for interval translations and some other piecewise continuous maps

Cites Work

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• MINIMAL AND STRANGE ATTRACTORS
• Global attraction in the sigma–delta modulator piecewise isometry
• Interval translation mappings
• Perturbations of 8-Attractors and Births of Satellite Systems
• Global attraction in the piecewise rotation of the Sigma-Delta modulator

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