Chaotic systems play a crucial role in information security, cryptography, and secure communication systems due to their extreme sensitivity to initial conditions and inherent unpredictability. In this study, the dynamic behavior of the Scaled Zhongtang (SZ) chaotic system, which exhibits rich dynamical characteristics, is analyzed, and a low-cost, high-precision embedded system implementation using the STM32F429 microcontroller is presented. Within the scope of the study, the complexity of the SZ chaotic system is first validated through time series analysis, phase portraits, Lyapunov spectrum, and bifurcation analyses. Following the numerical analyses, the chaotic differential equation set is solved on the embedded system using the fourth-order Runge-Kutta (RK4) algorithm. The obtained chaotic data are converted into analog signals via the microcontroller’s internal 12-bit Digital-to-Analog Converter (DAC) without the need for an external hardware interface. The system performance is evaluated by comparing experimental data acquired from an oscilloscope with MATLAB simulation results. The comparison results demonstrate that the STM32-based implementation exhibits high consistency with theoretical models. This study proposes a flexible and cost-effective alternative for industrial applications of chaotic systems, addressing the stability issues of analog circuits and the high costs of FPGA-based systems.
Bulut et al. (Thu,) studied this question.