Chaotic Circuit and Its Application in Weak Signal Detection

Abstract

In this work, we design a novel 3D chaotic circuit model and investigate the dynamics of a system without an equilibrium point inspired by Justin’s model. New features are presented by tuning the controlling circuit parameters, including dramatic hysteresis loops, heart bistable hidden attractors, and symmetrical attractors. We surprisingly find that these behaviors indeed lead to switched systems among various oscillators such as “hysteresis loops”, “Van der Pol”, “heart”, “bell” and “butterfly”. Hence, both the voltage’s amplitude and frequency are modulated in proper parameters. It is interesting to find that in the system, it is easy to control the bistable threshold value and the transition trajectory between the chaotic and the periodic states. These characteristics have great potential to dramatically enhance the accuracy and sensitivity of signal detection. A high quality factor circuit is achieved by adjusting the parameters of the chaotic system, so that the influence of noise on the ratio of signal to noise (SNR) of the system is almost negligible. Systematic experiments are carried out to verify the prediction from numerical simulations. To conclude, this system enables a new method to detect weak signals coupled with strong noise.