Chaos in a Fractional-Order Nonlinear Financial System

Abstract

According to a nonlinear chaos financial system, one fractional-order nonlinear financial system is proposed. The features of all equilibrium points for the fractional-order nonlinear financial system are yield. According to the features of all equilibrium points, the necessary condition for the existence of chaotic attractors in this fractional-order nonlinear financial system is obtained via the stability theory of fractional-order systems. The Lyapunov exponents spectrum of this fractional-order nonlinear financial system is obtained. The chaos attractors for this fractional-order nonlinear financial system are obtained by computer simulation. The simulation results of chaos attractors indicate that the necessary condition for the existence of chaotic attractors in fractional-order nonlinear financial system is correctly.