English

Characterization and global analysis of a family of Poisson structures

Mathematical Physics 2019-11-12 v1 Dynamical Systems math.MP Symplectic Geometry Exactly Solvable and Integrable Systems Classical Physics

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.

Keywords

Cite

@article{arxiv.1910.05141,
  title  = {Characterization and global analysis of a family of Poisson structures},
  author = {Benito Hernández-Bermejo},
  journal= {arXiv preprint arXiv:1910.05141},
  year   = {2019}
}

Comments

arXiv admin note: text overlap with arXiv:1910.03311