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Abstract and Applied Analysis
Volume 2013 (2013), Article ID 876298, 10 pages
http://dx.doi.org/10.1155/2013/876298
Research Article

0-1 Test for Chaos in a Fractional Order Financial System with Investment Incentive

1Nonlinear Science Center, School of Economics and Management, Shandong University of Science and Technology, Qingdao 266590, China
2Nonlinear Dynamics and Chaos Group, School of Management, Tianjin University, Tianjin 300072, China

Received 5 September 2013; Accepted 25 September 2013

Academic Editor: Luca Guerrini

Copyright © 2013 Baogui Xin and Yuting Li. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

A new integer-order chaotic financial system is extended by introducing a simple investment incentive into a three-dimensional chaotic financial system. A four-dimensional fractional-order chaotic financial system is presented by bringing fractional calculus into the new integer-order financial system. By using weighted integral thought, the fractional order derivative's economics meaning is given. The 0-1 test algorithm and the improved Adams-Bashforth-Moulton predictor-corrector scheme are employed to detect numerically the chaos in the proposed fractional order financial system.