In this survey we discuss current directions of research in the dynamics of nonsmooth
systems, with emphasis on bifurcation theory. An introduction to the state-of-the-art (also for …

Modification of behaviour in response to changes in the environment or ambient conditions,
based on memory, is typical of the human and, possibly, many animal species. One obvious …

This review is aimed at exploring ordinary differential equations with hysteresis as viewed by
the contemporary nonlinear control theory. Currently, there are books and reviews devoted …

In this paper, we generalize the Preisach model to the case when parameters of elementary
relays are random variables. We show that an output state of the stochastic Preisach …

We consider a class of equations which have been recently proposed as a mathematical
tool for modelling dynamics of hydrological, economic and biological systems exhibiting …

We present a model of, and analysis of an optimization problem for, a magnetostrictive
harvesting device which converts mechanical energy of the repetitive process such as …

The goal of this article is twofold. The first objective is to demonstrate the role of hysteresis in
hydrology. The second objective is to describe a class of simple and convenient …

We have developed a method to operate lithium-silicon (Li-Si) thick-film electrodes in a
manner consistent with traction applications. Key to the operating strategy is the voltage …

This study is devoted to generalizing one of the most popular constructive models of
hysteresis, the Preisach converter (a continuous system of nonideal relays connected in …

Hysteresis is a rate-independent non-linearity that is expressed through thresholds,
switches, and branches. Exceedance of a threshold, or the occurrence of a turning point in …