Hysteresis is a phenomenon where nonlinearity and memory effects occur at the same time. This chapter describes a few models of magnetic hysteresis with particular emphasis on these two features. After a brief review of approaches within micromagnetics (Landau-Lifshitz equation) and domain wall motion (Langevin function), the general requirements for a model are established. Two rate-type bilinear models are examined in detail, which generalize a class of models named after Duhem. The connection with the models by Bouc and Preisach is also presented.
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