Weakly nonlinear dynamics in noncanonical Hamiltonian systems with applications to fluids and plasmas
Plasma Physics
2016-04-20 v1 Mathematical Physics
math.MP
Chaotic Dynamics
Fluid Dynamics
Abstract
A method, called beatification, is presented for rapidly extracting weakly nonlinear Hamiltonian systems that describe the dynamics near equilibria for systems possessing Hamiltonian form in terms of noncanonical Poisson brackets. The procedure applies to systems like fluids and plasmas in terms of Eulerian variables that have such noncanonical Poisson brackets, i.e., brackets with nonstandard and possibly degenerate form. A collection of examples of both finite and infinite dimensions is presented.
Keywords
Cite
@article{arxiv.1512.07230,
title = {Weakly nonlinear dynamics in noncanonical Hamiltonian systems with applications to fluids and plasmas},
author = {P. J. Morrison and J. Vanneste},
journal= {arXiv preprint arXiv:1512.07230},
year = {2016}
}