X Gracia et al 1992 J. Phys. A: Math. Gen. 25 1989 doi:10.1088/0305-4470/25/7/037
X Gracia, J M Pons and N Roman-Roy
Show affiliationsFor a kth-order singular Lagrangian the presymplectic equation plus the different 'mth-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.
70S05 Lagrangian formalism and Hamiltonian formalism
53D12 Lagrangian submanifolds; Maslov index
70H45 Constrained dynamics, Dirac's theory of constraints (See also 70F20, 70F25, 70Gxx)
Issue 7 (7 April 1992)
X Gracia et al 1992 J. Phys. A: Math. Gen. 25 1989
Subenoy Chakraborty and Lalit Biswas 1996 Class. Quantum Grav. 13 2153
T K Yeh et al 2006 Metrologia 43 451
D N Timms et al 1990 J. Phys.: Condens. Matter 2 10517
A W Hood 1992 Plasma Phys. Control. Fusion 34 411
S P Collins et al 2009 J. Phys.: Conf. Ser. 190 012045
J A Foxman and J M Robbins 2005 Nonlinearity 18 2775
Evgueni Kleimenov et al 2009 J. Phys.: Conf. Ser. 190 012035
S V Gupta 2004 Metrologia 41 361
The ALICE Collaboration et al 2008 JINST 3 S08002