Comparative Efficiency of Stabilizing Actions on the Controlled Lorentz System

The article is devoted to the determination of the comparative energy efficiency of stabilizing quasi-resonant and inertial influences on the parameters of a controlled discrete-nonlinear Lorentz system with dynamic chaos. It is shown that fluctuations causing deviations of the discrete-nonlinear Lorentz system from equilibrium states lead to changes in the quasi-resonant frequency and the efficiency of inertial stabilizing effects. It is found that the efficiency of stabilizing inertial actions on the parameter b of the controlled discrete-nonlinear Lorentz system increases with an increase in the fluctuation deviation of the system from equilibrium states. The conditions are determined under which stabilizing inertial actions become energetically more favorable than quasi-stationary actions on the parameters of a discrete-nonlinear system.