We are interested in singular perturbation problems and hysteresis as common strongly
nonlinear phenomena that occur in many industrial, physical and economic systems. The
wordingstrongly nonlinear'means that linearization will not encapsulate the observed
phenomena. Often these two types of phenomena are manifested for different stages of the
same or similar processes. A number of fundamental hysteresis models can be considered
as limit cases of time relaxation processes, or admit an approximation by a differential …