Uniqueness of limit cycles for polynomial first-order differential equations

DOI10.1016/j.jmaa.2009.06.031zbMath1282.34040OpenAlexW2022888790MaRDI QIDQ837125

N. E. Zubov

Publication date: 10 September 2009

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2009.06.031

zbMATH Keywords

limit cyclescalar differential equationrigid planar vector field

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) 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 (10)

LIMIT CYCLES FOR SOME ABEL EQUATIONS HAVING COEFFICIENTS WITHOUT FIXED SIGNS ⋮ Centers and limit cycles for a family of Abel equations ⋮ Existence of non-trivial limit cycles in Abel equations with symmetries ⋮ Periodic solutions of Abel equations with jumps ⋮ Stability of singular limit cycles for Abel equations revisited ⋮ Characterization of the existence of non-trivial limit cycles for generalized Abel equations ⋮ Anti-periodic solutions of Abel differential equations with state dependent discontinuities ⋮ Abel-like differential equations with a unique limit cycle ⋮ Periodic solutions with nonconstant sign in Abel equations of the second kind ⋮ Alien limit cycles in Abel equations

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