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On a characterization of the Preisach model for hysteresis. (English) Zbl 0719.47053

The Preisach model of hysteresis is discussed. Its basic properties as congruency and wiping out property are explained and formalized. The class of Preisach operators is precisely described.
Reviewer: M.Kučera (Praha)

MSC:

47H30 Particular nonlinear operators (superposition, Hammerstein, Nemytskiĭ, Uryson, etc.)
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References:

[1] M. Brokate - A. Visintin , Properties of the Preisach model for hysteresis , J. Reine Angew. Math. 402 ( 1989 ), pp. 1 - 40 . MR 1022792 | Zbl 0682.47034 · Zbl 0682.47034
[2] M.A. Krasnosel’skii - A.V. Pokrovskii , Modelling transducers with hysteresis by means of continuous systems of relays , Soviet Math. Dokl. , 17 ( 1976 ), pp. 447 - 451 . Zbl 0344.68033 · Zbl 0344.68033
[3] M.A. Krasnosel’skii - A.V. Pokrovskii , Systems with hysteresis , Nauka , Moscow , 1983 . In Russian, English translation: Springer , 1989 . MR 987431 · Zbl 0812.47072
[4] I.D. Mayergoyz , Mathematical models of hysteresis , Phys. Rev. Lett. , 56 ( 1986 ), pp. 1518 - 1521 .
[5] E.J. Mcshane , Integration , Princeton University Press , 1944 . MR 82536 | Zbl 0060.13010 · Zbl 0060.13010
[6] F. Preisach , Über die magnetische Nachwirkung , Z. Phys. , 94 ( 1935 ), pp. 277 - 302 .
[7] A. Visintin , On the Preisach model for hysteresis , Nonlinear Analysis , 9 ( 1984 ), pp. 977 - 996 . MR 760191 | Zbl 0563.35007 · Zbl 0563.35007
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