Cyclicity of period annulus for a class of quadratic reversible systems with a nonrational first integral

DOI10.1017/prm.2022.70OpenAlexW4308737336MaRDI QIDQ6052825

Ji Hua Wang, Changjian Liu, Yangjian Sun, Xiuli Cen

Publication date: 25 September 2023

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/prm.2022.70

zbMATH Keywords

limit cycleChebyshev systemabelian integralquadratic reversible systemsimultaneous bifurcation and distribution

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07) Ordinary differential equations and connections with real algebraic geometry (fewnomials, desingularization, zeros of abelian integrals, etc.) (34C08)

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