Symmetry Reduction of Ordinary Differential Equations Using Moving Frames |
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| Authors: | Francis Valiquette |
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| Institution: | Department of Mathematics, State University of New York at New Paltz, 1 Hawk Drive, New Paltz, NY 12561, USA |
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| Abstract: | The symmetry reduction algorithm for ordinary differential equations due to Sophus Lie is revisited using the method of equivariant moving frames. Using the recurrence formulas provided by the theory of equivariant moving frames, computations are performed symbolically without relying on the coordinate expressions for the canonical variables and the differential invariants occurring in Lie’s original procedure. |
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| Keywords: | Canonical variables differential invariants equivariant moving frames Lie point symmetries ordinary differential equations |
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