XXXIV Workshop on Geometric Methods in Physics 28.06-4.07.2015

Andrew Bruce

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.

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