On the periodic orbits of the third-order differential equation \(x^{\prime\prime\prime}-\mu x^{\prime\prime}+x^{\prime }-\mu x=\varepsilon F(x, x^{\prime },x^{\prime\prime})\)

DOI10.1016/J.AML.2012.10.017zbMath1263.34056OpenAlexW1489823878WikidataQ115360853 ScholiaQ115360853MaRDI QIDQ1940681

Jaume Llibre, Luci Any Roberto

Publication date: 7 March 2013

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2012.10.017

zbMATH Keywords

periodic solutionthird-order differential equationaveraging method

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) Bifurcation theory for ordinary differential equations (34C23) Averaging method for ordinary differential equations (34C29)

Related Items (4)

Bifurcation of piecewise smooth manifolds from 3D center-type vector fields ⋮ Limit cycles for a variant of a generalized Riccati equation ⋮ Limit cycles for a class of fifth-order differential equations ⋮ On the limit cycles for a class of perturbed fifth-order autonomous differential equations

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