Some problems in the qualitative theory of ordinary differential equations

DOI10.1016/0022-0396(82)90113-9zbMath0461.34023OpenAlexW2065852737MaRDI QIDQ1152507

Yan Qian Ye

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1016/0022-0396(82)90113-9

zbMATH Keywords

limit cycleperiodic orbitDulac functionbifurcation curvesrotated vector fieldsquadratic differential systems

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Research exposition (monographs, survey articles) pertaining to ordinary differential equations (34-02)

Related Items

A simple class of quadratic systems, An exponential formula for polynomial vector fields, The number of limit cycles of certain polynomial differential equations, Limit cycles of planar quadratic differential equations, Visualization of Four Limit Cycles in Near-Integrable Quadratic Polynomial Systems, Global bifurcation of some cubic planar systems, Non-autonomous equations related to polynomial two-dimensional systems

Cites Work

• A survey of quadratic systems
• Limit-cycles and rotated vector fields
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