STUDY OF THE BOUNDARY OF THE TANGENTIAL BIFURCATION IN DETECTOR OF PERIODIC SIGNALS, BASED ON CHAOTIC OSCILLATOR
T. V. Patrusheva, E. M. Patrushev
The article considers a method for detecting periodic signals under the background of random interference. The implementation of the detector on the basis of a non-autonomous chaotic oscillator is proposed. The authors have justified choosing a tangent bifurcation as the basis of the detection mechanism. It is assumed that in the absence of a detectable signal at the input of the chaotic oscillator, its operation mode will be chaotic, and if it is available, a periodic mode will be established. A numerical model of the detector in Matlab / Simulink is implemented, which implements a system of differential equations for the chaotic oscillator Murali-Lakshmanan-Chua. As an informative parameter of the detector, the amount of chaotic emissions during the detection period was chosen and theoretical dependencies for it were presented. The proposed model allowed to carry out statistical studies of the boundary of chaos and periodic oscillations for the chaos generator under the influence of random narrow-band interference. Based on the dependencies obtained, the optimal parameters of the system were selected. The study as a whole made it possible to conclude that the proposed detector can be used as a node of devices receiving an information signal against a background of non-stationary interference.
Keywords: ichaotic oscillator, periodic signals detector, intermittency, tangential bifurcation, non-stationary interference.