Asymptotic Stability for a Class of Metriplectic Systems
Mathematical Physics
2009-11-13 v1 math.MP
Symplectic Geometry
Abstract
Using the framework of metriplectic systems on we will describe a constructive geometric method to add a dissipation term to a Hamilton-Poisson system such that any solution starting in a neighborhood of a nonlinear stable equilibrium converges towards a certain invariant set. The dissipation term depends only on the Hamiltonian function and the Casimir functions.
Cite
@article{arxiv.0710.3012,
title = {Asymptotic Stability for a Class of Metriplectic Systems},
author = {Petre Birtea and Mihai Boleantu and Mircea Puta and Razvan Micu Tudoran},
journal= {arXiv preprint arXiv:0710.3012},
year = {2009}
}