Nonsingular parametric oscillators Darboux-related to the classical harmonic oscillator

Abstract

"Interesting nonsingular parametric oscillators which are Darboux related to the classical harmonic oscillator and have periodic dissipative/gain features are identi?ed through a modi?ed factorization method. The same method is applied to the upside-down (hyperbolic) "oscillator" for which the obtained Darboux partners show transient underdamped features."