Mechanism of latent abnormalities in dynamics of hysteresis regulator with double synchronization

The advantage of hysteresis regulators with double synchronization (HDS-regulator) is connected with the promising combination of the operational and ecological characteristics of the energy conversion process. It causes the increase in interest to study in more detail the HDS-regulator dynamics in application to technical and nature nonlinear systems. And the following question seems to be the most important: whether latent abnormalities in operating process dynamics are possible? The question is actual due to the dominant behavior represents the ensemble of several periodical processes with the same periodicity and different orders of structural changes. The paper focuses on the abnormalities stimulated by the regular interplay between noise and nonlinear effects at the moments of the structural changes. In particular, the mathematical model to describe the interplay is proposed based on the analysis of the experimental bifurcation diagrams. The model represents the variant how to describe the result of the specific effects observed during experimental researches. It is shown that the latent abnormalities can appear due to the amplification of the initially temporary subtle disturbances to the quite long discernible behavior which likes the forthcoming stage of an abnormal process. The scenarios of the HDS-regulator dynamics evolution with/without the proposed model are compared to estimate where the domains of the reveled latent abnormalities can be allocated in the parametrical space. Finally, the comments concerning the influence of the abnormalities on the HDS-regulator operating dynamics are presented.