We consider the multiplay model for hysteresis with nonlocal memory. This model consists of N mass/spring/dashpot with deadzone elements. The hysteresis map of the multiplay model is completely determined by the stiffness coefficients and widths of the gaps of the mass/spring/dashpot with deadzone elements. This multiplay model can be used to model a hysteretic system with a hysteresis map possessing the symmetry of the cyclic rotation group C2. Parameters of the multiplay model can be determined based on the slope of the sampled hysteresis map. Once the multiplay model is determined, its inverse can be analytically computed.
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