Nonsingular parametric oscillators Darboux-related to the classical harmonic oscillator
Mathematical Physics
2013-12-24 v2 math.MP
Abstract
Interesting nonsingular parametric oscillators which are Darboux related to the classical harmonic oscillator and have periodic dissipative/gain features are identified through a modified factorization method. The same method is applied to the upside-down (hyperbolic) `oscillator' for which the obtained Darboux partners show transient underdamped features
Cite
@article{arxiv.1211.0079,
title = {Nonsingular parametric oscillators Darboux-related to the classical harmonic oscillator},
author = {H. C. Rosu and O. Cornejo-Perez and P. Chen},
journal= {arXiv preprint arXiv:1211.0079},
year = {2013}
}
Comments
9 pages, 9 figures included, version accepted at EPL