A categorical view of Poincaré maps and suspension flows

DOI10.1080/14689367.2022.2027346zbMath1503.37037OpenAlexW4210558227MaRDI QIDQ5071681

Tomoharu Suda

Publication date: 22 April 2022

Published in: Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/14689367.2022.2027346

zbMATH Keywords

Poincaré mapPoincaré sectionsuspension flowcategories of dynamical system

Mathematics Subject Classification ID

Topological and differentiable equivalence, conjugacy, moduli, classification of dynamical systems (37C15) Dynamics induced by flows and semiflows (37C10) Categories of topological spaces and continuous mappings (18F60)

Related Items (2)

On partial maps derived from flows ⋮ The categorical basis of dynamical entropy

Cites Work

• Every nonsingular \(C^{1}\) flow on a closed manifold of dimension greater than two has a global transverse disk
• A remark on global Poincaré section and suspension manifold
• Global cross sections and minimal flows
• Prolongations, suspensions and telescopes
• Continuous flows generate few homeomorphisms
• Spaces of dynamical systems
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