Comment on “Classification of Lie point symmetries for quadratic Liénard type equation ẍ + f(x) ẋ2 + g(x) = 0” [J. Math. Phys. 54, 053506 (2013)]

DOI10.1063/1.5099540zbMath1447.34039OpenAlexW3016873906MaRDI QIDQ3298922

Roberto Iacono

Publication date: 16 July 2020

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.5099540

zbMATH Keywords

linearizationintegrabilityLie symmetryLiénard type equation

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Nonlinear ordinary differential equations and systems (34A34) Symmetries, invariants of ordinary differential equations (34C14) Explicit solutions, first integrals of ordinary differential equations (34A05)

Related Items (1)

Response to “Comment on ‘Classification of Lie point symmetries for quadratic Liénard type equation ẍ + f(x)ẋ2 + g(x) = 0’” [J. Math. Phys. 61, 044101 (2020)]

Cites Work

• Unnamed Item
• On the period function of \(x^{\prime\prime}+f(x)x^{\prime2}+g(x)=0\)
• Comment on “Classification of Lie point symmetries for quadratic Liénard type equation ẍ+f(x)ẋ2+g(x)=” [J. Math. Phys. 54, 053506 (2013) and its erratum [J. Math. Phys. 55, 059901 (2014)]]
• Isochronicity of analytic systems via Urabe's criterion
• Classification of Lie point symmetries for quadratic Liénard type equation $\ddot{x}+f(x)\dot{x}^2+g(x)=0$ẍ+f(x)ẋ2+g(x)=0

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