On generic polinomial differential equations of second order on the circle

DOI10.33048/semi.2020.17.142zbMath1464.34053OpenAlexW3198076674WikidataQ115222250 ScholiaQ115222250MaRDI QIDQ2227032

V. Sh. Roitenberg

Publication date: 9 February 2021

Published in: Sibirskie Èlektronnye Matematicheskie Izvestiya (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.33048/semi.2020.17.142

zbMATH Keywords

limit cyclecylindrical phase spacepolynomial right-hand siderough equationdifferential equation of second order

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Structural stability and analogous concepts of solutions to ordinary differential equations (34D30)

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Cites Work

• On the number of solutions of the equation \(\sum^n_{j=0}a_j(t)x^j,0\leq t\leq 1\), for which \(x(0)=x(1)\)
• Hilbert's 16th problem for classical Liénard equations of even degree
• LIMIT CYCLES FOR GENERALIZED ABEL EQUATIONS
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