Stochastic resonance is an amplification and synchronization effect of weak periodic signals in nonlinear systems through a small noise perturbation. In this paper we study the dynamics of stochastic resonance… Click to show full abstract
Stochastic resonance is an amplification and synchronization effect of weak periodic signals in nonlinear systems through a small noise perturbation. In this paper we study the dynamics of stochastic resonance in a bistable system driven by multiplicative Levy noise with heavy tails, e.g., α-stable Levy noise. We determine the optimal tuning with respect to a probabilistic synchronization measure for both the jump-diffusion and the reduced two-state Markov chain. These results extend the theory of stochastic resonance to the case of heavy tail Levy perturbations.
Journal Title: Stochastics and Dynamics
Year Published: 2017
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!