Analysis and circuit simulation of a novel nonlinear fractional incommensurate order financial system

Abstract

In this paper, we consider a fractional incommensurate order financial system which is a generalized form of the financial system recently reported in the literature. Many interesting dynamic behaviors can be seen in fractional incommensurate order financial system e.g. chaotic motions, periodic motions and fixed points. Phase portraits and time histories of fractional incommensurate order financial system are exhibited. Adopting the largest Lyapunov exponent criteria, we find that the system yields chaos at the lowest order of 2.10. Intermittent chaotic behavior can be seen in the fractional-order financial system. In order to confirm the feasibility of the theoretical model, Cadence OrCAD package is used to design an electronic circuit to emulate the behavior of the novel nonlinear fractional order finance system.