|XXXIV Workshop on Geometric Methods in Physics||28.06-4.07.2015|
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Higher order mechanics on graded bundles
We discuss the applications of the recently discovered weighted Lie algebroids to the theory of higher order Lagrangian mechanics on graded bundles following the geometric ideas of Tulczyjew. As a particular example we will focus on higher order mechanics on Lie algebroids, which is motivated by reductions of higher order systems that posses symmetries.