"Higher order conditions for singular lagrangian dynamics"

For a k-th order singular lagrangian the presymplectic equation plus 
the different "m-th order differential equation" conditions that can 
be considered in the lagrangian space yield different dynamics which 
are studied.  This leads to a new classification of the constraints.
This study is also performed in the "intermediate formalisms" which 
can be defined between the lagrangian and the hamiltonian ones;  the 
corresponding classification schemes are then related.