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                  <text>Les prépublications de Louis Michel sont des travaux scientifiques datés entre 1964 et 1999 et témoignent de l’interdisciplinarité et des collaborations entre professeurs et chercheurs invités.</text>
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                <text>Classification of the symmetries of ordinary differential equations</text>
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                <text>Conference given at the XIIIth International Colloquium on Group Theoretical Methods in Physics. Moscow, june 4-9, 1990&#13;
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Abstract : We present S. Lie's work on the symmetry of ODE (ordinary differential equations) : action of Diff 2(x,y), the Lie algebra of vector fields of the plane x, y, on the set of ODE ; general form of ODE with a given symmetry algebra ; computation of the symmetry algebra of a given equation. The original part of this conference studies the general linear equation of order n&gt;2 (this has also be done independenty by Mohamed and Leach, ref. [9]). We also present in a more precise form the work of Lie on the finite dimensional subalgebras of Diff2. As an application, we classify the symmetries of second order equations.</text>
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