A new Chebyshev criterion and its application to planar differential systems

DOI10.1016/j.jde.2022.11.013OpenAlexW4309683825MaRDI QIDQ2101102

Publication date: 28 November 2022

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2011.02857

zbMATH Keywords

limit cycles Chebyshev systems Melnikov functions extended complete Chebyshev systems separation radials smooth and piecewise smooth planar differential systems

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07) Discontinuous ordinary differential equations (34A36)

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