On the uniqueness of limit cycles of the equation \(Q_2(x,y)dy=P_2(x,y)dx\)

DOI10.1134/S0012266114120155zbMath1317.34041OpenAlexW2130674707WikidataQ115251534 ScholiaQ115251534MaRDI QIDQ2345818

G. S. Rychkov

Publication date: 21 May 2015

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

Full work available at URL: https://doi.org/10.1134/s0012266114120155

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 (1)

Maximum number of limit cycles of the equation \((b_{20}x^2 + b_{11} xy + b_{02}y^2 + b_{00} ) dy = (a_{20}x^2 + a_{11} xy + a_{02}y^2 + a_{00} ) dx\) is two

Cites Work

• Phase Portraits of Planar Quadratic Systems
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