Oscillator and thermostat
Dynamical Systems
2009-12-08 v1
Abstract
We study the problem of a potential interaction of a finite-dimensional Lagrangian system (an oscillator) with a linear infinite-dimensional one (a thermostat). In spite of the energy preservation and the Lagrangian (Hamiltonian) nature of the total system, under some natural assumptions the final dynamics of the finite-dimensional component turns out to be simple while the thermostat produces an effective dissipation.
Cite
@article{arxiv.0912.1186,
title = {Oscillator and thermostat},
author = {Dmitry Treschev},
journal= {arXiv preprint arXiv:0912.1186},
year = {2009}
}
Comments
18 pages