Dept. of Appl.Math @ ucc.ie

Systems with Hysteresis
Welcome

Contents

What is `Hysteresis'

Preisach Model

Closed loop systems

Complex behavior
   Equations
   ``Poincare mapping''
   Visualization
   Chaotic behavior
   Try me!
   One relay equation
   Weiss model equation
   All in one

Other Hysterons

Advanced modelling

Bibliography

Complex behavior

Depending on the parameter values used, even simple systems having Preisach nonlinearity (like (3)) may exhibit extremely rich and interesting behavior. First we describe the setup in which the study of the dynamics of (3) can be reduced to a 2-dimensional mapping. Later we have some case studies, which include chaotic behavior due essentially to Preisach nonlinearity. Finally we provide an opportunity to experiment with different parameter values using a, simple and easy to use, applet.



Subsections