Author Description

Classical Preisach model. What is hysteresis?; Definition of the classical Preisach model of hysteresis; Diagram technique and the basic properties of the Preisach model; Identification problem, FORCs and Representation Theorem; Hysteresis energy losses -- Generalized Preisach models. "Moving" Preisach model of hysteresis; Preisach model of hysteresis with input-dependent measure; "Restricted" Preisach models of hysteresis; "Dynamic" Preisach models of hysteresis; Nonlinear diffusion and Preisach model -- Neural memory and hysteresis. Neuron; Channels and synapses; Action potentials; Hysteresis models of neural memory; Preisach based data storage and global optimizers -- Hysteresis driven by random processes. Basic facts about stochastic processes and hysteresis driven by I.I.D. processes; Hysteresis driven by a continuous-time noise process; Noise in hysteretic systems and stochastic processes on graphs; Spectral density of outputs of hysteretic systems driven by noise; Functional (path) integration models of hysteresis.