The Poincaré-Bendixson theorem on the Klein bottle for continuous vector fields

DOI10.3934/DCDS.2009.25.495zbMath1191.37013OpenAlexW2114730836MaRDI QIDQ841388

N. E. Zubov

Publication date: 16 September 2009

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2009.25.495

zbMATH Keywords

Klein bottle\(\omega\)-recurrent trajectorycontinuous vector fieldPoincaré-Bendixson Theorem

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Dynamics induced by flows and semiflows (37C10) Periodic orbits of vector fields and flows (37C27) Approximate trajectories (pseudotrajectories, shadowing, etc.) in smooth dynamics (37C50)

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