Comparison of Noise-Induced Resonance Characteristics for Different Models of Hysteresis

Noise-induced resonance has been found in numerous nonlinear systems from various areas of science and technology. However, most of these systems can be theoretically framed into two-state models or simple variants thereof. By exploring higher order reversals curves, a noisy input emphasizes the fundamental differences between the hysteresis models related to memory, accommodation, thermal relaxation, and other relevant characteristics. This study is aimed at providing a pertinent comparison of stochastic resonance characteristics for various integral, differential, and algebraic models of hysteresis driven by a noisy oscillatory input. A general framework for the analysis of stochastic resonance phenomena in complex hysteretic systems has been developed and implemented in an open-access academic software.