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
DOI10.1134/S0012266119120139zbMath1448.34071OpenAlexW3005254883WikidataQ115250489 ScholiaQ115250489MaRDI QIDQ2187854
Publication date: 3 June 2020
Published in: Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1134/s0012266119120139
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)
Cites Work
- Existence of limit cycles for generalized Liénard equations
- On the uniqueness of limit cycles of the equation \(Q_2(x,y)dy=P_2(x,y)dx\)
- Some criteria for presence and absence of limit cycles in dynamical systems of the second order
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