Chain recurrence and positive shadowing in linear dynamics

DOI10.1016/j.jmaa.2021.125622zbMath1497.47017arXiv2103.12904OpenAlexW3197004374MaRDI QIDQ2236049

Mayara Braz Antunes, Régis Varão, G. Mantovani

Publication date: 22 October 2021

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2103.12904

zbMATH Keywords

chain recurrencefrequently hypercyclicnon wandering setpositive shadowing

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Cyclic vectors, hypercyclic and chaotic operators (47A16)

Related Items (1)

On shadowing and chain recurrence in linear dynamics

Cites Work

• Unnamed Item
• Invariant measures for frequently hypercyclic operators
• Functional analysis, Sobolev spaces and partial differential equations
• Expansivity and shadowing in linear dynamics
• Linear operators with infinite entropy
• Expansive automorphisms of Banach spaces
• The Limit Comparison Test Needs Positivity
• On Devaney's Definition of Chaos
• Shadowing and structural stability for operators
• On the notions of upper and lower density

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