We study the dynamics of contact mechanical systems on Lie groups that are invariant under a Lie group action. Analogously to standard mechanical systems on Lie groups, existing …
The aim of this study was to make a novel symmetry analysis in relation to the importance of optimizing the ship's trajectory and safety in situations at sea where there is a risk of collision …
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 …
The aim of this study was to make a novel symmetry analysis in relation to the importance of optimizing the ship's trajectory and safety in situations at sea where there is a risk of collision …