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Variational Principles for Lie-Poisson and Hamilton-Poincaré Equations
(Independent Univ Moscow, 2003-07)
As is well-known, there is a variational principle for theEuler–Poincar ́e equations on a Lie algebragof a Lie groupGobtainedby reducing Hamilton’s principle onGby the action ofGby, say, leftmultiplication. The purpose of ...
Variational reduction of Hamiltonian systems with general constraints
(Elsevier Science, 2019-10)
In the Hamiltonian formalism, and in the presence of a symmetry Lie group, a variational reduction procedure has already been developed for Hamiltonian systems without constraints. In this paper we present a procedure of ...