The limit shadowing property and Li–Yorke’s chaos

DOI10.1142/S1793557116500078zbMath1344.37029OpenAlexW2194247979MaRDI QIDQ2806083

Manseob Lee

Publication date: 13 May 2016

Published in: Asian-European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793557116500078

zbMATH Keywords

shadowingweakly mixingtransitivelimit shadowingLi-Yorke's chaos

Mathematics Subject Classification ID

Approximate trajectories (pseudotrajectories, shadowing, etc.) in smooth dynamics (37C50) Notions of recurrence and recurrent behavior in topological dynamical systems (37B20)

Cites Work

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• On shadowing: ordinary and ergodic
• Interval maps, factors of maps, and chaos
• Shadowing in dynamical systems
• TRANSITIVITY, TWO-SIDED LIMIT SHADOWING PROPERTY AND DENSE ω-CHAOS
• Measures of Chaos and a Spectral Decomposition of Dynamical Systems on the Interval
• Hyperbolicity, transitivity and the two-sided limit shadowing property
• Hyperbolic sets with the strong limit shadowing property
• Devaney's chaos or 2-scattering implies Li-Yorke's chaos

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