Computation of local symmetries of second-order ordinary differential equations by the Cartan equivalence method

DOI10.1007/BF02308880zbMath0942.34032OpenAlexW2091833125MaRDI QIDQ1387296

Yu. R. Romanovskij

Publication date: 14 August 2000

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02308880

zbMATH Keywords

local symmetriesgroup analysis of differential equationsCartan equivalence methods

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Symmetries, invariants of ordinary differential equations (34C14) Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Topological and differentiable equivalence, conjugacy, moduli, classification of dynamical systems (37C15)

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Cites Work

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• Reducing systems of linear differential equations to a passive form
• Linearization of second order ordinary differential equations via Cartan's equivalence method
• Classification of Second-Order Ordinary Differential Equations Admitting Lie Groups of Fibre-Preserving Point Symmetries