Riv.Mat.Univ.Parma (6) 4 (2001)
STEFANO VIGNOLO
Presymplectic Lagrangian systems subject to non-holonomic constraints
Pages: 185-216
Received: 13 September 2001
Mathematics Subject Classification (2000): 70F25 - 70H45 - 70G45
Work partially supported by the National Group for Mathematical Physics (GNFM-INDAM)
Abstract:
A presymplectic (symplectic) setting for degenerate (regular) time-dependent Lagrangians subject to
non-holonomic constraints is proposed. In the resulting geometrical framework a constraint algorithm for the
singular case is developed and the associated second-order differential equation problem is solved for a wide
class of systems. An explicit example is given.
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