Some applications of the Poincaré-Bendixson theorem

DOI10.1007/s12346-021-00498-2zbMath1480.37041OpenAlexW3178904102MaRDI QIDQ1981902

Robert Roussarie

Publication date: 7 September 2021

Published in: Qualitative Theory of Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12346-021-00498-2

zbMATH Keywords

Poincaré-Bendixson theoremseparatrixextended limit setstrapping triangles

Mathematics Subject Classification ID

Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Stability theory for smooth dynamical systems (37C75)

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Cites Work

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• [https://portal.mardi4nfdi.de/wiki/Publication:4857456 A poincar�-bendixson theorem for analytic families of vector fields]
• An Elementary Proof of the Jordan-Schoenflies Theorem
• On Limits Sets in Dynamical Systems

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