10 citations · 35 across the 9 of their papers we have counts for
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math.DG2013★ 4 cited
A comparison of vakonomic and nonholonomic dynamics with applications to non-invariant Chaplygin systems
Michał Jóźwikowski, Witold Respondek
We study relations between vakonomically and nonholonomically constrained Lagrangian dynamics for the same set of linear constraints. The basic idea is to compare both situations a…
math.DG2013★ 9 cited
Prototypes of higher algebroids with applications to variational calculus
Michał Jóźwikowski, Mikołaj Rotkiewicz
Reductions of higher tangent bundles of Lie groupoids provide natural examples of geometric structures which we would like to call higher algebroids. Such objects can be also const…
math.DG2013★ 10 cited
Bundle-theoretic methods for higher-order variational calculus
Michał Jóźwikowski, Mikołaj Rotkiewicz
We present a geometric interpretation of the integration-by-parts formula on an arbitrary vector bundle. As an application we give a new geometric formulation of higher-order varia…