Shadowing property of 1-dimensional subsystems for suspension of \(\mathbb{Z}^k\)-actions

DOI10.1007/s10883-022-09625-xOpenAlexW4309796665MaRDI QIDQ6145732

Jinlian Zhang, Lin Wang

Publication date: 9 January 2024

Published in: Journal of Dynamical and Control Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10883-022-09625-x

zbMATH Keywords

suspensionshadowing\(\mathbb{Z}^k\)-actions1-dimensional subsystem

Mathematics Subject Classification ID

Approximate trajectories (pseudotrajectories, shadowing, etc.) in smooth dynamics (37C50) Approximate trajectories, pseudotrajectories, shadowing and related notions for topological dynamical systems (37B65)

Cites Work

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• Nonuniform measure rigidity
• Hyperbolicity and chain recurrence
• Shadowing in dynamical systems
• Shadowing and hyperbolicity
• Expansive one-parameter flows
• Shadowing for actions of some finitely generated groups
• Stability Properties of One-Parameter Flows
• Shadowing in actions of some Abelian groups
• Inverse shadowing in group actions
• Equilibrium states and the ergodic theory of Anosov diffeomorphisms

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