Quadratic perturbations of a quadratic reversible center of genus one

DOI10.1007/s11464-011-0155-4zbMath1232.34050OpenAlexW2093369129MaRDI QIDQ644532

Linping Peng

Publication date: 4 November 2011

Published in: Frontiers of Mathematics in China (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11464-011-0155-4

zbMATH Keywords

limit cyclesmall perturbationabelian integralsquadratic reversible systemperiod annulusweakened Hilbert 16th problem

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)

Related Items (2)

Phase portraits of separable quadratic systems and a bibliographical survey on quadratic systems ⋮ Abelian integrals and limit cycles

Cites Work

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