Analytics on Nonlinear Phenomena in Dynamics of Hysteresis Regulators with Double Synchronization

Abstract

Hysteresis regulators with double synchronization (HDS-regulators) combine the advantages of synchronized one-level hysteresis regulators and provide the heightened stability of the operating process of energy conversion. However, this result is provided at the expense of appearance novel bifurcations and states about bifurcation points. Usually, in pulse system dynamics such phenomena mean either beginning or development of tendencies towards emergencies. In dynamics of HDS-regulators such unambiguity in conclusions is absent. At the same time, the necessary methods to estimate and classify novel nonlinear phenomena from the operating viewpoint are absent. Here we discuss this issue. In this connection we attract the computer-based bifurcation analysis specialized for dynamical systems with variable structures, the HDS-model with built-in spike effects caused by commutations, and modified bifurcation diagrams used to show intermittency-like effects. Thus, the integrated analytics becomes to be oriented to the operating evolution with bifurcation effects, where transient and stationary stages are uninterruptedly estimated. We believe that the results could be interesting for researchers and engineers in the field of modeling and control of physical processes in dynamics of systems with variable structures.