Contact formalism for dissipative mechanical systems on Lie algebroids
In this paper, we introduce a geometric description of contact Lagrangian and Hamiltonian
systems on Lie algebroids in the framework of contact geometry, using the theory of …
systems on Lie algebroids in the framework of contact geometry, using the theory of …
Reduction by Symmetry and Optimal Control with Broken Symmetries on Riemannian Manifolds
JR Goodman, LJ Colombo - arXiv preprint arXiv:2401.01129, 2024 - arxiv.org
This paper studies the reduction by symmetry of variational problems on Lie groups and
Riemannian homogeneous spaces. We derive the reduced equations of motion in the case …
Riemannian homogeneous spaces. We derive the reduced equations of motion in the case …