Normal forms of vector fields on Poisson manifolds

DOI10.5802/ambp.221zbMath1165.53375arXivmath/0509144OpenAlexW2058061825MaRDI QIDQ867423

Philippe Monnier, Nguyen Tien Zung

Publication date: 15 February 2007

Published in: Annales Mathématiques Blaise Pascal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0509144

zbMATH Keywords

normal formsHamiltonian vector fieldsJacobi structureshomogeneous Poisson structures

Mathematics Subject Classification ID

Related Items (3)

Analytic normalization of analytically integrable differential systems near a periodic orbit ⋮ Pseudo-Riemannian geodesics and billiards ⋮ Leaf-normal form classification for \(n\)-Tuple Hopf singularities

Cites Work

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• Lectures on celestial mechanics. Transl. from the German by C. I. Kalme.
• Convergence versus integrability in Birkhoff normal form
• Poisson structures and their normal forms
• MOMENTUM MAPPINGS AND POISSON COHOMOLOGY
• Lie groups beyond an introduction

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