TRANSITIVITY, TWO-SIDED LIMIT SHADOWING PROPERTY AND DENSE ω-CHAOS

DOI10.4134/JKMS.2014.51.4.837zbMath1305.37008MaRDI QIDQ2877786

Piotr Oprocha

Publication date: 25 August 2014

Published in: Journal of the Korean Mathematical Society (Search for Journal in Brave)

Full work available at URL: http://www.mathnet.or.kr/mathnet/kms_content.php?no=412125

zbMATH Keywords

pseudo-orbitshadowing propertytopological graphminimal set\(\omega\)-chaoslimit shadowingasymptotic tracing

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) 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) Dynamical systems involving maps of trees and graphs (37E25) Notions of recurrence and recurrent behavior in topological dynamical systems (37B20)

Related Items (10)

Positively \(N\)-expansive homeomorphisms and the L-shadowing property ⋮ Shadowing, transitivity and a variation of omega-chaos ⋮ Unnamed Item ⋮ Limit sets, attractors and chaos ⋮ Expansivity and unique shadowing ⋮ On homeomorphisms with the two-sided limit shadowing property ⋮ Flows with the weak two-sided limit shadowing property ⋮ Beyond topological hyperbolicity: the L-shadowing property ⋮ The limit shadowing property and Li–Yorke’s chaos ⋮ When is the beginning the end? On full trajectories, limit sets and internal chain transitivity

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