Simulated Dynamics Complexity of Fractional Financial System with Floating Rates of Interest
In this paper,the chaos and bifurcation theory are used to study the dynamic behavior of a class of fractional financial system with floating rates of interest.Firstly,the stability of the system and the equilibrium point are analyzed.Secondly,with the predictor-corrector method,the bifurcation diagram and phase diagram about the differential order,savings,investment cost and commodity demand elasticity are numerically simulated.From the bifurcation diagram and phase diagram,the evolution characteristics of Lyapunov index it can be obtained that the system has complex dynamic behavior.Combined with the analysis of various financial indicators,the research results provide a theoretical basis for the financial regulation system of relevant departments.
fractional financial systemstabilityfloating rates of interestLyapunov index