title: Noise-induced coherence in bistable systems with multiple time delays.
abstract: We study the correlation properties of noise-driven bistable systems with multiple time-delay feedbacks. For small noisy perturbation and feedback magnitude, we derive the autocorrelation function and the power spectrum based on the two-state model with transition rates depending on the earlier states of the system. A comparison between the single and double time delays reveals that the auto correlation functions exhibit exponential decay with small undulation for the double time delays, in contrast with the remarkable oscillatory behavior at small time lags for the single time delay.
authors.affiliation: Departamento de Física, Universidad Autónoma Metropolitana-Iztapalapa, Apartado Postal 55-534, 09340 México, Distrito Federal, Mexico.
authors.forename: Yu
authors.initials: Y
authors.lastname: Jiang
authors.forename: Shi-Hai
authors.initials: SH
authors.lastname: Dong
authors.forename: M
authors.initials: M
authors.lastname: Lozada-Cassou