Hysteresis is the dependence of Output not only on Input but also on history because History affects the Internal state of material.As in Ferromagnetic material placed in magnetic field we get a Hysteresis loop which shows dependency of magnetic strength of material on external field.This curves shows dissipated Energy .
Flux Leakage: Leakage Flux stores magnetic energy alternately.Magnetic Flux leakage is a method based on magnetising the material using strong magnet.It is used for testing corrosion and pitting.