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arXiv · 1711.05347

Symmetries of second order ODEs

Boris Kruglikov
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Abstract

It is demonstrated that point symmetry algebras of general analytic second order ODEs, not necessary of principal type, can have all dimensions between 0 and 8 except for 7. For the symmetry dimension 8 the ODE must be locally trivializable.

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Boris Kruglikov. 2017-11-14. Symmetries of second order ODEs. https://arxiv.org/abs/1711.05347

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