A cubic system with thirteen limit cycles

DOI10.1016/j.jde.2009.01.038zbMath1176.34037OpenAlexW2081699720MaRDI QIDQ1018377

Jiazhong Yang, Changjian Liu, Chengzhi Li

Publication date: 19 May 2009

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

Full work available at URL: https://doi.org/10.1016/j.jde.2009.01.038

zbMATH Keywords

bifurcation limit cycle abelian integral 16-th Hilbert's problem near-Hamiltonian cubic system

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) Ordinary differential equations and connections with real algebraic geometry (fewnomials, desingularization, zeros of abelian integrals, etc.) (34C08)

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Cites Work