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

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  • Baogui Xin
  • Yuting Li

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.

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Handle: RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:876298
DOI: 10.1155/2013/876298
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