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math.SG2005
Normal forms of vector fields on Poisson manifolds
Philippe Monnier, Nguyen Tien Zung
We study formal and analytic normal forms of radial and Hamiltonian vector fields on Poisson manifolds near a singular point.
math.SG2004★ 2 cited
Linearization of Poisson brackets
Rui Loja Fernandes, Philippe Monnier
We review the linearization of Poisson brackets and related problems, in the formal, analytic and smooth categories.