“…Dynamic response of structural elements is highly dependent on the history and the response, i.e., force history, and the loading scheme at the moment, i.e., displacement history. The models that can convert such one-to-many mapping system to a one-to-one mapping system are of great importance [25]. Over the last few decades, several models have been developed to describe a certain hysteretic behaviour, including operator-based models, which use mathematical operators to characterize hysteretic response, and differential-equation-based models, where hysteresis is described as a differential equation that captures the dynamics of the system.…”