TY - JOUR TI - Analysis and control of financial stability based on non-linear differential dynamical systems AU - Deng Zi-Hao JN - Thermal Science PY - 2025 VL - 29 IS - 3 SP - 1783 EP - 1792 PT - Article AB - As a complex system with multi-body interactions, the financial market functions in accordance with the non-linear differential dynamical system characteristics and properties. Although the financial market is a complex system with multiple constraints and perturbations, it is subject to a number of universal laws. This paper introduces fractional-order non-linear differential dynamical systems as a means of modeling and analyzing financial stability, as well as exploring the dynamical characteristics and large-time behavior of complex financial systems. Empirical simulation analysis and testing of econometrics serve to verify the scientific validity of this stochastic process.