%0 Journal Article
%T Oscillator and thermostat
%A Dmitry Treschev
%J Mathematics
%D 2009
%I arXiv
%X 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.
%U http://arxiv.org/abs/0912.1186v1