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

Baogui Xin | Zendy; Yuting Li | Zendy

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

Author(s) -

Baogui Xin,

Yuting Li

Publication year - 2013

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2013/876298

Subject(s) - fractional calculus , order (exchange) , mathematics , chaotic , integer (computer science) , investment (military) , finance , derivative (finance) , chaos (operating system) , computer science , economics , politics , political science , law , programming language , computer security , artificial intelligence

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 usingweighted 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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