The Liouvillian Integrability of Several Oscillators

DOI10.1142/S021812741950069XzbMath1422.34003OpenAlexW2948933120MaRDI QIDQ5379868

Claudia Valls, Jaume Giné

Publication date: 14 June 2019

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s021812741950069x

zbMATH Keywords

Duffing oscillatorvan der Pol oscillatorLiouvillian first integrals

Mathematics Subject Classification ID

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

Related Items (2)

Integrability analysis of Muthuswamy-Chua-Ginoux system ⋮ Integrable geodesic flows and metrisable second-order ordinary differential equations

Cites Work

• Unnamed Item
• Essential variables in the integrability problem of planar vector fields
• Nondegenerate and nilpotent centers for a cubic system of differential equations
• Qualitative theory of planar differential systems
• Liouvillian First Integrals of Differential Equations
• Local analytic integrability for nilpotent centers
• Liénard Equation and Its Generalizations

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