Title: Delay feedback strategy for a fractional-order chaotic financial system

Authors: Changjin Xu

Addresses: Guizhou Key Laboratory of Economics System Simulation, Guizhou University of Finance and Economics, Guiyang, 550004, China

Abstract: In this paper, we are concerned with a new fractional incommensurate order financial system which is a generalised version of the financial model investigated in earlier works. Designing a suitable time-delayed feedback controller, we have controlled the chaotic phenomenon of the fractional incommensurate order financial system. By analysing the characteristic equation of the involved financial system and regarding the delay as the bifurcation parameter, we establish a set of new sufficient conditions to guarantee the stability and the existence of Hopf bifurcation for fractional incommensurate order financial system. The study reveals that the delay and the fractional order have an important influence on the stability and Hopf bifurcation of considered financial system. Computer simulations are presented to illustrate the correctness of the theoretical results. The theoretical findings of this paper are new and have important meanings in dealing with the economic and financial problems.

Keywords: chaos control; financial system; stability; Hopf bifurcation; fractional order; delay.

DOI: 10.1504/IJDSDE.2020.112760

International Journal of Dynamical Systems and Differential Equations, 2020 Vol.10 No.6, pp.553 - 569

Received: 03 Dec 2018
Accepted: 05 Apr 2019
Published online: 02 Feb 2021 *

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