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Normal forms of vector fields on Poisson manifolds. (English) Zbl 1165.53375

Summary: We study formal and analytic normal forms of radial and Hamiltonian vector fields on Poisson manifolds near a singular point.

MSC:

53D17 Poisson manifolds; Poisson groupoids and algebroids
37G05 Normal forms for dynamical systems
17B63 Poisson algebras
37J05 Relations of dynamical systems with symplectic geometry and topology (MSC2010)
37J20 Bifurcation problems for finite-dimensional Hamiltonian and Lagrangian systems
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References:

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