Introduction:

Nonautonomous dynamical systems are defined by differential or difference systems whose coefficients vary with time. The time dependence may exhibit a wide range of behavior, from periodic to stochastic. Such dynamical systems have been intensively studied from the theoretical and computational viewpoints in the last 40 years. A body of results has been obtained which has permitted extensive applications to spectral theory, control theory, fluid dynamics, neural networks, to name some of many areas. Naturally this work on applied problems has had a feedback effect on efforts in theory and computation. The aim of this session is to present an overview of activities in this challenging and rapidly developing field. 
