Asymptotic Stability for a Class of Metriplectic Systems

Details Asymptotic Stability for a Class of Metriplectic Systems Asymptotic Stability for a Class of Metriplectic Systems

2007-10-16

arxiv.org/abs/0710.3012v1

Physics

Mathematical Physics

Scientific paper

10.1063/1.2771420

Using the framework of metriplectic systems on $\R^n$ 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.

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