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      Singular reduction of implicit Hamiltonian systems

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          Abstract

          This paper develops the reduction theory of implicit Hamiltonian systems admitting a symmetry group at a singular value of the momentum map. The results naturally extend those known for (explicit) Hamiltonian systems described by Poisson brackets.

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          Journal
          10.1016/S0034-4877(04)90013-4
          math/0303022

          Differential equations & Dynamical systems,Geometry & Topology
          Differential equations & Dynamical systems, Geometry & Topology

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