On first integrals of second-order ordinary differential equations

DOI10.1007/s10665-012-9590-9zbMath1360.34024OpenAlexW2027241929MaRDI QIDQ525140

S. Moyo, Partha Guha, Juan Luis Romero, Anindya Ghose Choudhury, Sergey V. Meleshko, Concepción Muriel

Publication date: 28 April 2017

Published in: Journal of Engineering Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10665-012-9590-9

zbMATH Keywords

linearizationequivalence transformations\(\lambda\)-symmetryodes

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Nonlinear ordinary differential equations and systems (34A34) Dynamics induced by flows and semiflows (37C10) Equivalence and asymptotic equivalence of ordinary differential equations (34C41)

Related Items (8)

On linearizability via nonlocal transformations and first integrals for second-order ordinary differential equations ⋮ Lax representation and a quadratic rational first integral for second-order differential equations with cubic nonlinearity ⋮ Nonlocal Constants of Motions of Equations of Painlevé – Gambier Type and Generalized Sundman Transformation ⋮ First integrals and Hamiltonians of some classes of ODEs of maximal symmetry ⋮ Unnamed Item ⋮ Nonlocal transformations of the generalized Liénard type equations and dissipative Ermakov-Milne-Pinney systems ⋮ Algebraic properties of first integrals for systems of second-order ordinary differential equations of maximal symmetry ⋮ Lax representation and quadratic first integrals for a family of non-autonomous second-order differential equations

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• Unnamed Item
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