%0 Journal Article %T Symmetries of vector exterior differential systems and the inverse problem in second-order Ostrohrads'kyj mechanics %A R. Ya. Matsyuk %J Mathematics %D 2014 %I arXiv %R 10.2991/jnmp.1997.4.1-2.9 %X Symmetries of variational problems are considered as symmetries of vector bundle valued exterior differential systems. This approach is then applied to third order ordinary variational equations of motion of the semi-classical spinning particle. %U http://arxiv.org/abs/1406.5877v1