Nonsingular parametric oscillators Darboux-related to the classical harmonic oscillator
arXiv:1211.0079 · doi:10.1209/0295-5075/100/60006
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
9 pages, 9 figures included, version accepted at EPL