Model of the transducer based on Murali-Lakshmanan-Chua non-autonomous chaotic oscillator for discrete sensors intended for monitoring production processes

Abstract

The article discusses the model of the detector of periodic signals under the background noise intended for discrete type control devices. It is proposed to construct the detector based on the non-autonomous chaotic Murali – Lakshmanan – Chua oscillator. To detect, the parameters of a chaotic oscillator must ensure proximity to the bifurcation boundary between the periodic and chaotic modes. In the absence of the detectable signal at the input of a chaotic oscillator, chaotic motion is observed in it, and if present, a bifurcation occurs and a periodic mode is established. The numerical model that allows solving the Cauchy problem for the system of differential equations of the chaotic oscillator Murali – Lakshmanan – Chua has compiled in Matlab / Simulink. The output informative parameter of the detector is the number of chaotic bursts during the detection time. The proposed model allowed us to obtain empirical dependencies for the number of bursts. On the basis of the obtained dependencies, the choice of the optimal parameters of the system is made. The study as a whole led to the conclusion about the possibility of using the proposed detector as a node of devices that receive the measuring signal under the action of non-stationary interference.