Liouvillian integrability of the generalized Duffing oscillators

DOI10.1007/s13324-020-00459-zzbMath1462.34007OpenAlexW3119236773MaRDI QIDQ2221316

Maria V. Demina

Publication date: 26 January 2021

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

Full work available at URL: https://doi.org/10.1007/s13324-020-00459-z

zbMATH Keywords

Duffing oscillatorDarboux polynomialsLiénard systemsNewell-Whitehead-Segel equationinvariant algebraic curvesLiouvillian first integrals

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Nonlinear ordinary differential equations and systems (34A34) Explicit solutions, first integrals of ordinary differential equations (34A05) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Traveling wave solutions (35C07)

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