Existence and distributional chaos of points that are recurrent but not Banach recurrent

DOI10.1007/s10884-022-10158-xarXiv1911.01564OpenAlexW3025939378WikidataQ115382859 ScholiaQ115382859MaRDI QIDQ6195994

Yifan Jiang, Xue Ting Tian

Publication date: 14 March 2024

Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1911.01564

zbMATH Keywords

recurrencesymbolic dynamicsdistributional chaos

Mathematics Subject Classification ID

Dynamical systems and ergodic theory (37-XX) Numerical analysis (65-XX)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On quasi-weakly almost periodic points
• Different asymptotic behavior versus same dynamical complexity: recurrence \& (ir)regularity
• Topological pressure and the variational principle for noncompact sets
• Lyapunov exponents, entropy and periodic orbits for diffeomorphisms
• Various shadowing properties for positively expansive maps
• Level of the orbit's topological structure and topological semi-conjugacy
• Sets of ``non-typical points have full topological entropy and full Hausdorff dimension
• Irregular sets, the $𝛽$-transformation and the almost specification property
• On the irregular points for systems with the shadowing property
• Specification property and distributional chaos almost everywhere
• Measures of Chaos and a Spectral Decomposition of Dynamical Systems on the Interval
• On the variational principle for the topological entropy of certain non-compact sets
• On Dynamical Systems With the Specification Property
• Topological pressure of simultaneous level sets
• Distributional chaos in multifractal analysis, recurrence and transitivity
• Transitively-saturated property, Banach recurrence and Lyapunov regularity
• A Topologically Strongly Mixing Symbolic Minimal Set
• Ergodic sets

This page was built for publication: Existence and distributional chaos of points that are recurrent but not Banach recurrent