On the conditions of a center and general integrals of quadratic differential systems

DOI10.1007/s101140100114zbMath1017.34027OpenAlexW2010162353MaRDI QIDQ5944194

Yan Qian Ye, Wei Yin Ye

Publication date: 13 August 2003

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s101140100114

zbMATH Keywords

centerfirst integralquadratic differential system

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05)

Related Items (6)

Global phase portraits of quadratic systems with a complex ellipse as invariant algebraic curve ⋮ Phase portraits of two classes of quadratic differential systems exhibiting as solutions two cubic algebraic curves ⋮ Qualitative dynamics of five quadratic polynomial differential systems exhibiting five classical cubic algebraic curves ⋮ Phase portraits of integrable quadratic systems with an invariant parabola and an invariant straight line ⋮ Unnamed Item ⋮ Unnamed Item

Cites Work

• Quadratic systems with center and their perturbations
• A survey of quadratic systems
• Algebraic Particular Integrals, Integrability and the Problem of the Center
• Unnamed Item

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