 The Bouc–Wen model of hysteresis is often used to describe non-linear hysteretic systems.It was introduced by Bouc and extended by Wen, who demonstrated its versatility by producing a variety of hysteretic patterns.This model is able to capture in analytical form, a range of shapes of hysteretic cycles which match the behaviour of a wide class of hysteretical systems; therefore, given its versability and mathematical tractability, the Bouc–Wen model has quickly gained popularity and has been extended and applied to a wide variety of engineering problems, including multi-degree-of-freedom (MDOF) systems, buildings, frames, bidirectional and torsional response of hysteretic systems two- and three-dimensional continua, and soil liquefaction among others.