MATLAB Simulation of Duffing Chaotic Oscillator System for Weak Signal Detection

MATLAB simulation diagrams of the Duffing chaotic oscillator system. Through parameter selection, weak signal detection has been achieved under noise-free, white noise, and colored noise conditions. These simulations demonstrate the dynamic behavior of the Duffing chaotic oscillator system and help us better understand its characteristics. In noise-free conditions, we can clearly observe the system's nonlinear behavior and chaotic phenomena. Under white noise and colored noise conditions, weak signals can be detected and extracted using signal processing techniques, enabling sensitive detection of the system. The implementation involves solving the Duffing equation using MATLAB's ODE solvers (like ode45), adding noise components through randn() for white noise and filtered random processes for colored noise, and applying signal processing methods such as phase space reconstruction or Lyapunov exponent calculation for detection analysis. These simulation results hold significant importance for researching and applying Duffing chaotic oscillator systems, providing valuable references and insights for researchers in related fields.