Singular reduction of implicit Hamiltonian systems

Details Singular reduction of implicit Hamiltonian systems Singular reduction of implicit Hamiltonian systems

2003-03-03

arxiv.org/abs/math/0303022v1

Mathematics

Dynamical Systems

29 pages, no figures, submitted

Scientific paper

10.1016/S0034-4877(04)90013-4

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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