Limit sets and global dynamic for 2-D divergence-free vector fields

DOI10.21494/iste.op.2022.0837zbMath1526.37031OpenAlexW4281723960MaRDI QIDQ6177215

Habib Marzougui

Publication date: 31 August 2023

Published in: Advances in Pure and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.21494/iste.op.2022.0837

zbMATH Keywords

\(\omega\)-limit setclosed surfacePoincaré-Bendixson theoremminimal componentquasiminimal setrecurrent orbitdivergence free-vector fields

Mathematics Subject Classification ID

Dynamics induced by flows and semiflows (37C10) Periodic orbits of vector fields and flows (37C27) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Stability theory for smooth dynamical systems (37C75) Flows on surfaces (37E35)

Cites Work

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• Structure of foliations on 2-manifolds
• Dynamical systems on surfaces. Transl. from the French by H. G. Helfenstein
• Global structure of 2-D incompressible flows
• Transitive flows on manifolds.
• On the Classification of Noncompact Surfaces

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