Limit cycles bifurcated from a reversible quadratic center

DOI10.1007/BF02972673zbMath1142.34019MaRDI QIDQ2468832

Jinming Li

Publication date: 11 February 2008

Published in: Qualitative Theory of Dynamical Systems (Search for Journal in Brave)

zbMATH Keywords

Abelian integralreversible centerseparate items quadratic 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)

Related Items (11)

On the limit cycles of planar polynomial system with non-rational first integral via averaging method at any order ⋮ The cyclicity of a class of quadratic reversible centers defining elliptic curves ⋮ Limit Cycles Bifurcating from a Family of Reversible Quadratic Centers via Averaging Theory ⋮ The cyclicity of period annuli of a class of quadratic reversible systems with two centers ⋮ A second order analysis of the periodic solutions for nonlinear periodic differential systems with a small parameter ⋮ Limit cycle bifurcations in perturbations of a reversible quadratic system with a non-rational first integral ⋮ Cyclicity of a Family of Generic Reversible Quadratic Systems with One Center ⋮ Unnamed Item ⋮ Limit cycles bifurcating from a \(k\)-dimensional isochronous center contained in \(\mathbb R^n\) with \(k\leqslant n\) ⋮ Abelian integrals and limit cycles ⋮ New family of abelian integrals satisfying Chebyshev property

Cites Work

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• THE GEOMETRY OF QUADRATIC DIFFERENTIAL SYSTEMS WITH A WEAK FOCUS OF SECOND ORDER
• The infinitesimal 16th Hilbert problem in the quadratic case

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