Analysis of chaotic systems with circular equilibrium points and its applications in weak-signal detection

This paper conducts relevant nonlinear analysis on a class of chaotic systems with circular equilibrium points and applies them to weak-signal detection. Nonlinear analysis tools such as phase diagrams, Lyapunov exponent spectra, and bifurcation diagrams are used to analyze the nonlinear characteristics of the system, indicating the rich chaotic properties of the system. For better application, the system is improved by adding a weak signal. The simulation results show that the weak signal can be easily identified.