Characterization and global analysis of a family of Poisson structures
arXiv:1910.05141 · doi:10.1016/j.physleta.2006.02.010
Abstract
A three-dimensional family of solutions of the Jacobi equations for Poisson systems is characterized. In spite of its general form it is possible the explicit and global determination of its main features, such as the symplectic structure and the construction of the Darboux canonical form. Examples are given.
arXiv admin note: text overlap with arXiv:1910.03311
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Cited by in corpus (9)
- Generalization of solutions of the Jacobi PDEs associated to time reparametrizations of Poisson systems
- New solution family of the Jacobi equations: Characterization, invariants, and global Darboux analysis
- Perturbed Euler top and bifurcation of limit cycles on invariant Casimir surfaces
- Characterization, global analysis and integrability of a family of Poisson structures
- Generalized results on the role of new-time transformations in finite-dimensional Poisson systems
- New global solutions of the Jacobi partial differential equations
- Generalization of the separation of variables in the Jacobi identities for finite-dimensional Poisson systems
- Bi-Hamiltonian Structure in Serret-Frenet Frame
- Bi-Hamiltonian Structure of Gradient Systems in Three Dimensions and Geometry of Potential Surfaces