Rational limit cycles on generalized Bernouilli polynomial equations

DOI10.1063/5.0015230zbMath1470.34094OpenAlexW3134235987MaRDI QIDQ5859138

Claudia Valls

Publication date: 15 April 2021

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/5.0015230

zbMATH Keywords

generalized Bernoulli polynomial equationHilbert`s 16th problemrational limit cycle

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Explicit solutions, first integrals of ordinary differential equations (34A05) 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 (2)

Rational Periodic Solutions on Some Generalized Abel Equations ⋮ Rational solutions of Abel trigonometric polynomial differential equations

Cites Work

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• On the number of solutions of the equation \(\sum^n_{j=0}a_j(t)x^j,0\leq t\leq 1\), for which \(x(0)=x(1)\)
• The generalized Fermat equation in function fields
• Alien limit cycles in Abel equations
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