Dept. of Appl.Math @ ucc.ie
Systems with Hysteresis
Welcome

Contents

What is `Hysteresis'
   I/O diagrams
   Discussion
   Definition
   Krasnosel'skii concept

Preisach Model

Closed loop systems

Complex behavior

Other Hysterons

Advanced modelling

Bibliography

I/O diagrams

In many scientific and general encyclopedias the meaning of the word is illustrated by the picture like that in Figure 1.

Figure 1: A typical hysteresis input-output diagram
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The quantities $x$, $y$, measured along the horizontal and the vertical axis respectively, can have different physical meanings, such as deformations versus stress (plastic hysteresis) or external magnetic field versus magnetization (ferromagnetic hysteresis).