This paper deals with mathematical models of magnetic hysteresis imple
mented by assembling hysterons of play and stop type. A procedure for
the identification of these models is described, and their behaviors a
re compared to experimental results. A comparison to the Preisach and
Prandtl-Ishlinskii models is performed.:It is shown that the Play-Type
Model is a possible alternative to Preisach's algorithm, whereas the
Stop-Type Model is apt to represent the inverse of Preisach's operator
. Simulations adopting both models are reported and compared to experi
mental data, Moreover, an application to the analysis of a ferroresona
nt circuit is studied, both numerically and experimentally.