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arxiv: 0807.0845 · v1 · submitted 2008-07-05 · 🧮 math.DG

Symmetry of Quadratic Homogeneous Differential Systems

classification 🧮 math.DG
keywords differentialhomogeneousquadraticsymmetryactionactionsalgebrasconsider
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In this paper, the symmetry group of a differential system of n quadratic homogeneous first order ODEs of n variables is studied. For this purpose, we consider the action of both point and contact transformations to signify the corresponding Lie algebras. We also find the independent differential invariants of these actions.

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