%0 Journal Article
%T Computing ODE Symmetries as Abnormal Variational Symmetries
%A Paulo D. F. Gouveia
%A Delfim F. M. Torres
%J Mathematics
%D 2008
%I arXiv
%R 10.1016/j.na.2008.10.009
%X We give a new computational method to obtain symmetries of ordinary differential equations. The proposed approach appears as an extension of a recent algorithm to compute variational symmetries of optimal control problems [Comput. Methods Appl. Math. 5 (2005), no. 4, pp. 387-409], and is based on the resolution of a first order linear PDE that arises as a necessary and sufficient condition of invariance for abnormal optimal control problems. A computer algebra procedure is developed, which permits to obtain ODE symmetries by the proposed method. Examples are given, and results compared with those obtained by previous available methods.
%U http://arxiv.org/abs/0804.0925v1