On the limit cycle distribution over two nests in quadratic systems

DOI10.1017/S0004972700014945zbMath0849.34021OpenAlexW2004002466MaRDI QIDQ4866750

J. W. Reyn, Xianhua Huang

Publication date: 15 October 1996

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972700014945

zbMATH Keywords

distribution of limit cyclesquadratic differential system in the plane

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15)

Related Items (2)

Phase portraits of separable quadratic systems and a bibliographical survey on quadratic systems ⋮ The distribution of limit cycles in quadratic systems with four finite singularities

Cites Work

• Quadratic vector fields in the plane have a finite number of limit cycles
• Hilbert's 16th problem for quadratic vector fields
• Bounded quadratic systems in the plane
• The number of limit cycles of certain polynomial differential equations
• Infinite singular points of quadratic systems in the plane

This page was built for publication: On the limit cycle distribution over two nests in quadratic systems