Oscillation control of a multimode chaotic system with an asymmetric characteristic

A mathematical model of a controlled chaotic system is studied that is based on a differential-difference equation widely used in various fields of science and technology. Numerical methods are applied to study the feasibility of controlling the oscillations of a delayed system using a filter inserted into a feedback circuit that converts chaotic oscillations into quasi-harmonic ones, and the asymmetric amplitude characteristic typical of real systems is used. The transition to chaos is considered under the conditions when the filter resonance frequency falls into the interval between the eigenfrequencies of the system. Relevant experimental data are presented.