Characterization, global analysis and integrability of a family of Poisson structures

DOI10.1016/j.physleta.2007.08.052zbMath1217.70015arXiv1910.06765OpenAlexW2104465274MaRDI QIDQ552762

Benito Hernández-Bermejo

Publication date: 26 July 2011

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1910.06765

zbMATH Keywords

Darboux theoremJacobi identitiesPDEsCasimir invariantsfinite-dimensional Poisson systems

Mathematics Subject Classification ID

Applications of Lie groups to the sciences; explicit representations (22E70) Poisson manifolds; Poisson groupoids and algebroids (53D17) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems (37M15)

Related Items (7)

Numerical methods preserving multiple Hamiltonians for stochastic Poisson systems ⋮ Congruence method for global Darboux reduction of finite-dimensional Poisson systems ⋮ Poisson systems as the natural framework for additional first integrals via Darboux invariant hypersurfaces ⋮ New global solutions of the Jacobi partial differential equations ⋮ Generalization of the separation of variables in the Jacobi identities for finite-dimensional Poisson systems ⋮ Generalization of solutions of the Jacobi PDEs associated to time reparametrizations of Poisson systems ⋮ Generalized results on the role of new-time transformations in finite-dimensional Poisson systems

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