N. Berglund, H. Kunz Memory Effects and Scaling Laws in Slowly Driven Systems (233K, AMS-LaTeX, 18 PS figs, tar-gzipped) ABSTRACT. This article deals with dynamical systems depending on a slowly varying parameter. We present several physical examples illustrating memory effects, such as metastability and hysteresis, which frequently appear in these systems. A mathematical theory is outlined, which allows to show existence of hysteresis cycles, and determine related scaling laws.