Abelian integrals for a kind of quadratic reversible centers of genus one \((r7)\)

DOI10.11948/20210487MaRDI QIDQ6598213

Lijun Hong, Xiaochun Hong, Bin Wang

Publication date: 4 September 2024

Published in: Journal of Applied Analysis and Computation (Search for Journal in Brave)

zbMATH Keywords

limit cycleabelian integralweakened Hilbert's 16th problemquadratic reversible center

Mathematics Subject Classification ID

Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Ordinary differential equations and connections with real algebraic geometry (fewnomials, desingularization, zeros of abelian integrals, etc.) (34C08)

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