Analysis and control of financial stability based on non-linear differential dynamical systems

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.