Limit cycles of quadratic systems in the plane

DOI10.1216/RMJ-1984-14-3-619zbMath0552.34032MaRDI QIDQ801452

Lawrence M. Perko

Publication date: 1984

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

limit cyclesquadratic systemsnumerical plots

Mathematics Subject Classification ID

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

Related Items

Limit cycles of a Liénard cubic system with quadratic friction function, Test Models for Statistical Inference: Two-Dimensional Reaction Systems Displaying Limit Cycle Bifurcations and Bistability, Quadratic systems with maximum number of limit cycles, Some lower bounds for \(H(n)\) in Hilbert's 16th problem, HILBERT'S 16TH PROBLEM AND BIFURCATIONS OF PLANAR POLYNOMIAL VECTOR FIELDS, Limit cycles for some families of smooth and non-smooth planar systems, SOME BIFURCATION DIAGRAMS FOR LIMIT CYCLES OF QUADRATIC DIFFERENTIAL SYSTEMS, BIFURCATIONS OF LIMIT CYCLES IN A Z₃-EQUIVARIANT VECTOR FIELD OF DEGREE 5, Some open problems in low dimensional dynamical systems, INVESTIGATIONS OF BIFURCATIONS OF LIMIT CYCLES IN Z₂-EQUIVARIANT PLANAR VECTOR FIELDS OF DEGREE 5, Local bifurcations and a survey of bounded quadratic systems