But this would result in a discontinuous change when the input value passed over that threshold.

Hence, the same system can present smooth, abrupt or discontinuous change depending on its parameters configurations.

Thresholds will be present, however, only in cases where abrupt and discontinuous change is possible.

It is an example of discontinuous change with hysteresis.

Why is this rather undivided author in awe of discontinuous change?

There he warned against ignoring deeper forces that account for discontinuous changes in human history.

A shock is characterised by a discontinuous change in the thermodynamic properties.

Shock waves are characterized by an abrupt, nearly discontinuous change in the characteristics of the medium.

Thom built on this, and his own earlier work, to create a catastrophe theory supposed to account for discontinuous change in nature.

His goal was to provide a theory of discontinuous change and to carry the idea of society as artifact to the hilt.