2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/132685We show that, for mechanical system with external forces, the equations of deviations of solution curves of the corresponding Lagrange equations,determine a nonlinear connection on the second order osculator (second order tangent) bundle. In particular, Jacobi equations in Finsler and Riemann spaces determine such a nonlinear connection.13 pagesDifferential GeometryMathematical Physics53B40; 70H50text