A weakened Markus–Yamabe condition for planar polynomial differential systems of degree

DOI10.1017/s0013091523000615OpenAlexW4387704991MaRDI QIDQ6180590

Claudia Valls, Jaume Llibre

Publication date: 22 December 2023

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0013091523000615

zbMATH Keywords

global asymptotic stabilityplanar polynomial vector fieldsMarkus-Yamabe conjecture

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Global stability of solutions to ordinary differential equations (34D23)

Cites Work

• Global asymptotic stability of differential equations in the plane
• Polynomial Liénard equations near infinity
• A polynomial counterexample to the Markus-Yamabe conjecture
• Weakened Markus--Yamabe conditions for 2-dimensional global asymptotic stability
• A solution to the bidimensional global asymptotic stability conjecture
• Qualitative theory of planar differential systems
• Chebyshev-Haar systems in the theory of discontinuous Kellogg kernels
• A proof of the two-dimensional Markus-Yamabe Stability Conjecture and a generalization
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