Integrable cases of the polynomial Liénard-type equation with resonance in the linear part

DOI10.1007/s11786-023-00567-6OpenAlexW4385305985MaRDI QIDQ6178860

Victor F. Edneral

Publication date: 5 September 2023

Published in: Mathematics in Computer Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11786-023-00567-6

zbMATH Keywords

integrabilitycomputer algebraLiénardś equationresonance normal form

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) Dynamics induced by flows and semiflows (37C10)

Cites Work

• On new integrals of the Algaba-Gamero-Garcia system
• On the classification of Liénard systems with amplitude-independent periods
• On the integrability of Liénard i-type equations via \(\lambda \)-symmetries and solvable structures
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