Stability of the distribution function for piecewise monotonic maps on the interval

DOI10.3934/DCDS.2018105zbMath1401.37047OpenAlexW2792202700WikidataQ130093062 ScholiaQ130093062MaRDI QIDQ1661077

Michal Málek, Peter Raith

Publication date: 16 August 2018

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2018105

zbMATH Keywords

perturbationdistribution functioninterval mapdistributional chaosbasic setpiecewise monotonic map

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Dynamical systems involving maps of the interval (37E05) Stability theory for smooth dynamical systems (37C75)

Cites Work

• Piecewise invertible dynamical systems
• The three versions of distributional chaos
• Continuity of the Hausdorff dimension for piecewise monotonic maps
• Distributional (and other) chaos and its measurement
• Omega limit sets and distributional chaos on graphs
• Measures of Chaos and a Spectral Decomposition of Dynamical Systems on the Interval
• Generalized Specification Property and Distributional Chaos
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