English

On Time-dependent Hamiltonian Realizations of Planar and Nonplanar Systems

Differential Geometry 2018-03-14 v2 Mathematical Physics math.MP

Abstract

In this paper, we elucidate the key role played by the cosymplectic geometry in the theory of time dependent Hamiltonian systems. In particular, we generalize the cosymplectic structures to time-dependent Nambu-Poisson Hamiltonian systems and corresponding Jacobi's last multiplier for 3D systems. We illustrate our constructions with various examples.

Keywords

Cite

@article{arxiv.1705.06169,
  title  = {On Time-dependent Hamiltonian Realizations of Planar and Nonplanar Systems},
  author = {Oğul Esen and Partha Guha},
  journal= {arXiv preprint arXiv:1705.06169},
  year   = {2018}
}