title: Constructive influence of noise flatness and friction on the resonant behavior of a harmonic oscillator with fluctuating frequency.
abstract: The influences of noise flatness and friction coefficient on the long-time behavior of the first two moments and the correlation function for the output signal of a harmonic oscillator with fluctuating frequency subjected to an external periodic force are considered. The colored fluctuations of the oscillator frequency are modeled as a trichotomous noise. The study is a follow up of the previous investigation of a stochastic oscillator [Phys. Rev. E 78, 031120 (2008)], where the connection between the occurrence of energetic instability and stochastic multiresonance is established. Here we report some unexpected results not considered in the previous work. Notably, we have found a nonmonotonic dependence of several stochastic resonance characteristics such as spectral amplification, variance of the output signal, and signal-to-noise ratio on the friction coefficient and on the noise flatness. In particular, in certain parameter regions spectral amplification exhibits a resonancelike enhancement at intermediate values of the friction coefficient.
authors.affiliation: Institute of Mathematics and Natural Sciences, Tallinn University, 25 Narva Road, 10120 Tallinn, Estonia.
authors.forename: Katrin
authors.initials: K
authors.lastname: Laas
authors.forename: Romi
authors.initials: R
authors.lastname: Mankin
authors.forename: Astrid
authors.initials: A
authors.lastname: Rekker