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math-ph2006★ 97 cited
Superposition rules, Lie theorem and partial differential equations
José F. Cariñena, Janusz Grabowski, Giuseppe Marmo
A rigorous geometric proof of the Lie's Theorem on nonlinear superposition rules for solutions of non-autonomous ordinary differential equations is given filling in all the gaps pr…
math-ph2006★ 3 cited
Variational calculus on Lie algebroids
Eduardo Martinez
It is shown that the Euler-Lagrange equations for a Lagrangian system on a Lie algebroid are obtained as the equations for the critical points of the action functional defined on a…