Oriented and standard shadowing properties on closed surfaces

DOI10.1016/j.topol.2023.108598zbMath1522.37033arXiv2302.02120OpenAlexW4378417921WikidataQ123129221 ScholiaQ123129221MaRDI QIDQ6110051

Sogo Murakami

Publication date: 4 July 2023

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2302.02120

zbMATH Keywords

shadowinghyperbolic sectorstopological flows

Mathematics Subject Classification ID

Stability of topological dynamical systems (37B25) Approximate trajectories (pseudotrajectories, shadowing, etc.) in smooth dynamics (37C50) Flows on surfaces (37E35) Approximate trajectories, pseudotrajectories, shadowing and related notions for topological dynamical systems (37B65)

Related Items (1)

Oriented and standard shadowing properties on closed surfaces

Cites Work

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• An example of a vector field with the oriented shadowing property
• One-parameter flows with the pseudo-orbit tracing property
• Stability theorems and hyperbolicity in dynamical systems
• Conditions of \(C^0\) flows on closed surfaces having the pseudo-orbit tracing property
• Shadowing and hyperbolicity
• Lipschitz shadowing implies structural stability
• An Elementary Proof of the Jordan-Schoenflies Theorem
• Ordinary Differential Equations
• Stability theory of dynamical systems.
• Oriented and standard shadowing properties on closed surfaces

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