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The Discrete Preisach Model of Hysteresis

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The left graphic shows the upper-left half of an matrix of hysterons. A hysteron is a nonideal relay or Schmitt trigger, with two states: {off, 0, yellow} or {on, 1, red}.

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Change the value with its slider. On the left you see how the hysterons are switched on or off as you increase or decrease . The right graphic shows the corresponding hysteresis curve. At a given point , the value is the proportion of switched-on hysterons. This value depends on the history of . The curve stores the history of the last 300 points and the red point is the current point.

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Contributed by: Thomas Koeppel (March 2011)
Open content licensed under CC BY-NC-SA

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For more information on hysteresis, see the Wikipedia entry.

For the mathematical theory of systems with hysteresis and a detailed description of the Preisach model, see Systems with Hysteresis.

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