3 citations · 5 across the 5 of their papers we have counts for
4 papers · 1 filter
Homogenous Lagrangian systems
Wlodzimierz M. Tulczyjew, Pawel Urbanski
The application of the Legendre transformation to a hyperregular Lagrangian system results in a Hamiltonian vector field generated by a Hamiltonian defined on the phase space of th…
Frame-independent formulation of Newtonian mechanics
Katarzyna Grabowska, Pawel Urbanski
A frame independent formulation of analytical mechanics in the Newtonian space-time is presented. The differential geometry of affine values i.e., the differential geometry in whic…
Dynamics of autonomous systems with external forces
Giuseppe Marmo, Wodzimierz M. Tulczyjew, Pawel Urbanski
We consider a geometric framework for analytical mechanics with external forces. Four versions of this framework are considered. A variational principle with boundary terms and ext…
A slow and careful Legendre transformation for singular Lagrangians
Wlodzimierz M. Tulczyjew, Pawel Urbanski
A comparative analysis of two different versions of the Legendre transformation is presented. We provide an almost complete although somewhat superficial review of the geometric ba…