Darboux first integrals and linearizability of quadratic-quintic Duffing-van der Pol oscillators

DOI10.1016/j.geomphys.2021.104215zbMath1471.34006OpenAlexW3138489037WikidataQ114173609 ScholiaQ114173609MaRDI QIDQ2032672

Maria V. Demina, Dmitry I. Sinelshchikov

Publication date: 14 June 2021

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.geomphys.2021.104215

zbMATH Keywords

Darboux polynomialsintegrability conditionsnonlocal transformationsLiénard equations

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Explicit solutions, first integrals of ordinary differential equations (34A05) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15)

Related Items (4)

On an integrability criterion for a family of cubic oscillators ⋮ Nonlocal deformations of autonomous invariant curves for Liénard equations with quadratic damping ⋮ Integrability and solvability of polynomial Liénard differential systems ⋮ A class of new solvable nonlinear isochronous systems and their classical dynamics

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