Dept. of Appl.Math @ ucc.ie

Systems with Hysteresis
Welcome

Contents

What is `Hysteresis'

Preisach Model

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

Complex behavior

Other Hysterons

Advanced modelling

Bibliography

Pendulum in magnetic field

As an illustration we consider the forced oscillation of an iron pendulum in a magnetic field, Figure 12.

Figure 12: An iron pendulum in magnetic field
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Such oscillators are common in nature and in industry: a satellite orbiting the Earth, swings in a playground (in both cases because the Earth is a huge magnet), and numerous examples in microelectronics etc.



Subsections