Generalized results on the role of new-time transformations in finite-dimensional Poisson systems
arXiv:1910.00530 · doi:10.1016/j.physleta.2009.12.003
Abstract
The problem of characterizing all new-time transformations preserving the Poisson structure of a finitedimensional Poisson system is completely solved in a constructive way. As a corollary, this leads to a broad generalization of previously known results. Examples are given.
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- Inverse Jacobi multiplier as a link between conservative systems and Poisson structures
- Periodic orbits in analytically perturbed Poisson systems
- Generalization of the separation of variables in the Jacobi identities for finite-dimensional Poisson systems
- New global solutions of the Jacobi partial differential equations
- Congruence method for global Darboux reduction of finite-dimensional Poisson systems