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

Contents

What is `Hysteresis'

Preisach Model

Closed loop systems
   Pendulum in magnetic field
   ODE with Relay
   ODE with Weiss model
   ODE with Preisach model

Complex behavior

Other Hysterons

Advanced modelling

Bibliography

ODE with Preisach model

Since ``real life'' magnets consists of the large number of different monocrystals, the behavior of magnet can be described by Preisach nonlinearity $P$, 3.3.

Consider the following modification of the model (3)

\begin{displaymath} x''+x=A\sin(\sqrt{2} t)+b(P x(t)-1/2). \end{displaymath}

An applet, allowing experimentation with parameters $A$ and $b$, is given below. Preisach nonlinearity $P$ used in the model above is one used in 3.3.3. Two pictures of the pendulums on the top show the behavior of the monocrystal pendulum in the magnetic field (black) and the pendulum without it (red). Graphs of pendulums positions versus time can be found at the bottom part of the applet.