Symmetry and reduction in implicit generalized Hamiltonian systems

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Dirac structures in Lagrangian mechanics Part I: Implicit Lagrangian systems (2006, methodology): “An important class of implicit mechanical systems is those with nonholonomic constraints, which has a long and rich history; see, for instance, Neimark and Fufaev [1972] and Bloch [2003]. The Lagrangian and Hamiltonian approaches for such systems have been extensively developed, including symmetry a”
Hamiltonian Symmetries and Reduction in Generalized Geometry (2005, background): “[9, 10], where integrability is not required while the reduced structure will be integrable if the original one is so.”
Hamiltonian formulation of distributed-parameter systems with boundary energy flow (2002, methodology): “In [31], [18], [28], [2], [7], [30], [29], [4], it was employed as the geometrical notion formalizing general power-conserving interconnections, thereby allowing the Hamiltonian formulation of interconnected and constrained mechanical and electrical systems.”
Singular reduction of implicit Hamiltonian systems (2003, methodology): “This gives the following proposition (an improved version of [5, 6]).”