A unifying mechanical equation with applications to non-holonomic   constraints and dissipative phenomena
  A mechanical covariant equation is introduced which retains all the effectingness of the Lagrange equation while being able to describe in a unified way other phenomena including friction, non-holonomic constraints and energy radiation (Lorentz-Abraham-Dirac force equation). A quantization rule adapted to the dissipative degrees of freedom is proposed which does not pass through the variational formulation. 
E. Minguzzi
math-ph math.MP