Canonical forms for systems of two second-order ordinary differential equations (Q2716585)

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scientific article; zbMATH DE number 1599188
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Canonical forms for systems of two second-order ordinary differential equations
scientific article; zbMATH DE number 1599188

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    Canonical forms for systems of two second-order ordinary differential equations (English)
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    20 May 2002
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    canonical forms
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    real Lie algebras
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    The authors investigate realizations of three- and four-dimensional real Lie algebras in terms of vector fields in \((1+2)\)-dimensional space. Furthermore, they discuss canonical forms and reduction of systems of two second-order ordinary differential equations having four-dimensional symmetry Lie algebras, and they show how one can integrate the underlying equations.
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