Brokate, Martin; Visintin, Augusto Properties of the Preisach model for hysteresis. (English) Zbl 0682.47034 J. Reine Angew. Math. 402, 1-40 (1989). As shown by Krasnosel’skij and Pokrovskii, the classical Presach model allows to construct a hysteresis operator W between spaces of real functions of time. This construction, via the definition of a measure \(\mu\) in the so-called Preisach plane, is recalled. Characterizations in terms of \(\mu\) are given for several mapping and continuity properties of W in various function spaces, for the invertibility of W and for the corresponding mapping and continuity properties of the inverse. Reviewer: M.Brokate Cited in 21 Documents MSC: 47H99 Nonlinear operators and their properties Keywords:Presach model; hysteresis operator; Preisach plane; invertibility; continuity properties of the inverse PDF BibTeX XML Cite \textit{M. Brokate} and \textit{A. Visintin}, J. Reine Angew. Math. 402, 1--40 (1989; Zbl 0682.47034) Full Text: DOI Crelle EuDML Link OpenURL