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math-ph2015★ 11 cited
Structural aspects of Hamilton-Jacobi theory
José F. Cariñena, Xavier Gràcia, Giuseppe Marmo +3
In our previous papers [11,13] we showed that the Hamilton-Jacobi problem can be regarded as a way to describe a given dynamics on a phase space manifold in terms of a family of dy…
math-ph2015
Higher-order Variational Calculus on Lie algebroids
Eduardo Martínez
The equations for the critical points of the action functional defined by a Lagrangian depending on higher-order derivatives of admissible curves on a Lie algebroid are found. The…