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Finite-time stabilizing a fractional-order chaotic financial system with market confidence

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Abstract

A novel integer-order chaotic financial system is proposed by considering market confidence into a three-dimensional financial system. A four-dimensional fractional-order financial system is presented by introducing fractional calculus into the new integer-order system. The 0–1 test algorithm is employed to identify chaos. A robust controller is designed to stabilize the fractional-order chaotic system in a finite time. This finite-time control scheme can keep the original structure of system as much as possible and can be applied to stabilizing other chaotic systems including dynamic economic systems. Numerical simulations validate the main results of this work.

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Acknowledgments

This work is supported partly by Excellent Young Scientist Foundation of Shandong Province (Grant No. BS2011SF018), National Social Science Foundation of China (Grant No. 12BJY103), and National Natural Science Foundation of China (Grant No. 71272148).

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Authors and Affiliations

  1. Nonlinear Science Center, School of Economics and Management, Shandong University of Science and Technology, Qingdao, 266590, China

    Baogui Xin & Jinyi Zhang

  2. Nonlinear Dynamics and Chaos Group, School of Management, Shandong University of Science and Technology, Tianjin, 300072, China

    Baogui Xin

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  1. Baogui Xin
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Correspondence to Baogui Xin.

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Xin, B., Zhang, J. Finite-time stabilizing a fractional-order chaotic financial system with market confidence. Nonlinear Dyn 79, 1399–1409 (2015). https://doi.org/10.1007/s11071-014-1749-7

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  • DOI: https://doi.org/10.1007/s11071-014-1749-7

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