Some dynamical properties for free semigroup actions

DOI10.1142/S0219493718500326zbMath1394.37017MaRDI QIDQ4584283

Dongkui Ma, Huihui Hui

Publication date: 29 August 2018

Published in: Stochastics and Dynamics (Search for Journal in Brave)

zbMATH Keywords

average shadowing propertyweakly mixingfree semigroup actiontotally transitivity

Mathematics Subject Classification ID

Approximate trajectories (pseudotrajectories, shadowing, etc.) in smooth dynamics (37C50) Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05) Notions of recurrence and recurrent behavior in topological dynamical systems (37B20)

Related Items (12)

Topological entropy pairs for an iterated function system ⋮ Unnamed Item ⋮ Chain recurrence rates and topological entropy of free semigroup actions ⋮ Shadowing property of hyperspace for free semigroup actions ⋮ Specification and shadowing properties of free semigroup actions ⋮ Transitivity and sensitivity of iterated function systems via Furstenberg families ⋮ The multi-transitivity of free semigroup actions ⋮ Weak mixing in switched systems ⋮ Ergodic shadowing properties of iterated function systems ⋮ Ergodic shadowing of semigroup actions ⋮ The asymptotic average shadowing property of iterated function systems ⋮ Chain mixing and multi-transitivities of iterated function systems

Cites Work

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• AVERAGE SHADOWING PROPERTIES ON COMPACT METRIC SPACES
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• Shadowing and average shadowing properties for iterated function systems
• Some properties of topological pressure of a semigroup of continuous maps
• Periodic Points and Measures for Axiom a Diffeomorphisms

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