On global attractors for a class of nonhyperbolic piecewise affine maps
type: Item
instance of: scholarly article
title: On global attractors for a class of nonhyperbolic piecewise affine maps
zbMATH Open document ID: 1153.37336
author: Xinchu Fu
author: Jinqiao Duan
published in: Physica D
publication date: 2009-02-10T00:00:00Z
Mathematics Subject Classification ID: 37C70
zbMATH DE Number: 5506333
zbMATH Keywords: discontinuous map
zbMATH Keywords: nonhyperbolic system
zbMATH Keywords: global attractor
zbMATH Keywords: invariance
zbMATH Keywords: parabolic map
zbMATH Keywords: piecewise isometry
MaRDI profile type: Publication
full work available at URL: j.physd.2008.07.012
OpenAlex ID: W1970010133
cites work: Dynamics of non-ergodic piecewise affine maps of the torus.
cites work: Q3135846
cites work: Elliptic behaviour in the sawtooth standard map.
cites work: Lossless Digital Filter Overflow Oscillations; Approximation of Invariant Fractals
cites work: Tangencies in invariant disc packings for certain planar piecewise isometries are rare
cites work: PROPERTIES OF THE INVARIANT DISK PACKING IN A MODEL BANDPASS SIGMA–DELTA MODULATOR
cites work: Q3152908
cites work: Invariant sets for discontinuous parabolic area-preserving torus maps
cites work: Riddling and invariance for discontinuous maps preserving Lebesgue measure
cites work: Invariant Curves and Explosion of Periodic Islands in Systems of Piecewise Rotations
cites work: Polygonal invariant curves for a planar piecewise isometry
cites work: On riddling and weak attractors
cites work: Interval translation mappings
cites work: Piecewise isometries have zero topological entropy
cites work: Nonlinear oscillations and chaos from digital filter overflow
cites work: Global attraction in the sigma–delta modulator piecewise isometry
cites work: Piecewise isometries: Applications in engineering
cites work: Symbolic analysis for some planar piecewise linear maps
cites work: Dynamical properties of 2-torus parabolic maps
cites work: Global attractors and invariant measures for non-invertible planar piecewise isometric maps
cites work: Symbolic representations of iterated maps
cites work: Dynamics of a piecewise rotation
cites work: Perturbations of 8-Attractors and Births of Satellite Systems
cites work: Stability of piecewise rotations and affine maps
cites work: Dynamics of piecewise isometries
cites work: Q4440626
cites work: MINIMAL AND STRANGE ATTRACTORS
cites work: Quasi-invariant attractors of piecewise isometric systems
cites work: Q3160631
cites work: Hamiltonian mappings and circle packing phase spaces
cites work: Ergodic properties of the discontinuous sawtooth map
cites work: Global attraction in the piecewise rotation of the Sigma-Delta modulator
cites work: Linear parabolic maps on the torus
DOI: 10.1016/J.PHYSD.2008.07.012
description: scientific article; zbMATH DE number 5506333