2015/10/23 by Anna Maria Cherubini, Cherubini, Anna Maria, Jeroen S. W. Lamb +5
Computer Science · Engineering · Mathematics · Physics and Astronomy · #37H10 #37H99 #60H10 #Dynamical Systems (math.DS) #FOS: Mathematics #Nonlinear Dynamics and Pattern Formation #Stability and Controllability of Differential Equations #math.DS #msc:37H10 #msc:37H99 #msc:60H10 #stochastic dynamics and bifurcation
paper · pdf · doi:10.48550/arxiv.1510.06973
arxiv created 2015/10/23 · openalex publication_date 2015/10/23 · arxiv updated 2015/10/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We study stochastic resonance in an over-damped approximation of the stochastic Duffing oscillator from a random dynamical systems point of view. We analyse this problem in the general framework of random dynamical systems with a nonautonomous forcing. We prove the existence of a unique global attracting random periodic orbit and a stationary periodic measure. We use the stationary periodic measure to define an indicator for the stochastic resonance.