Resonance with stochastic time

Author

Ohira, Toru and Hartnett, J G and Abbott, P C

Abstract

We introduce a resonant phenomenon using a model incorporating delay (temporal non‐locality) and stochastic time (temporal stochasticity). Although this model is a very simple linear dynamical differential equation, the addition of these elements makes it very rich. As an illustrative example, we describe a human stick balancing experiment that includes added fluctuations. We discuss how these concepts of temporal non‐locality and stochasticity could play a role in characterizing biological and physiological systems, as well as in physics.