Hysteresis is a response of a particular system which depends on the history of the system's operation.
See
http://video.google.com/videoplay?docid=2266798550342930962#
and watch the video beginning at about 19 minutes on the duration. He will explain example 1.
Examples of systems which exhibit hysteresis:
1. Magnetic fields in an iron core of a solenoid as the iron magnetic domains saturate.
2. Schmitt Triggers, a configuration of the operational amplifier, designed to trigger at different input voltages based on their previous output.
3. Stress strain curves of loading and unloading of a material which deforms permanently due to yielding.
4. Pool boiling, the relation between heat flux and temperature difference when boiling a fluid in an initially stationary pool. When the critical heat flux is achieved, this relation demonstrates hysteresis.