Pais-Uhlenbeck Oscillator with a Benign Friction Force
General Relativity and Quantum Cosmology
2013-05-24 v2
Abstract
It is shown that the Pais-Uhlenbeck oscillator with damping, considered by Nesterenko, is a special case of a more general oscillator that has not only a first order, but also a third order friction term. If the corresponding damping constants, \alpha\ and \beta, are both positive and below certain critical values, then the system is stable. In particular, if \alpha = - \beta, then we have the unstable Nesterenko's oscillator
Cite
@article{arxiv.1304.1325,
title = {Pais-Uhlenbeck Oscillator with a Benign Friction Force},
author = {Matej Pavšič},
journal= {arXiv preprint arXiv:1304.1325},
year = {2013}
}
Comments
6 pages, 1 figure; reference added; typos corrected