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Chaotic synchronization based on fractional order calculus financial system

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  • Cao, Yanli

Abstract

This paper uses the coupled synchronization control method to study the chaotic synchronization problem of fractional calculus financial systems. Firstly, the paper couples the control variables to each equation of the fractional financial system to synchronize the drive system and the response system. Secondly, the coupled control variables are added to each equation to synchronize the response system of the financial system. At the end of the thesis, the Laplace transform theory is used to prove the effectiveness of the method used in this paper.

Suggested Citation

  • Cao, Yanli, 2020. "Chaotic synchronization based on fractional order calculus financial system," Chaos, Solitons & Fractals, Elsevier, vol. 130(C).
    • Handle: RePEc:eee:chsofr:v:130:y:2020:i:c:s0960077919303510
    DOI: 10.1016/j.chaos.2019.109410
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    References listed on IDEAS

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    1. Ricardo Enrique Gutiérrez-Carvajal & Leonimer Flávio de Melo & João Maurício Rosário & J.A. Tenreiro Machado, 2016. "Condition-based diagnosis of mechatronic systems using a fractional calculus approach," International Journal of Systems Science, Taylor & Francis Journals, vol. 47(9), pages 2169-2177, July.
    2. Huang, Chengdai & Cao, Jinde, 2017. "Active control strategy for synchronization and anti-synchronization of a fractional chaotic financial system," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 473(C), pages 262-275.
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    Cited by:

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    4. Zain-Aldeen S. A. Rahman & Basil H. Jasim & Yasir I. A. Al-Yasir & Yim-Fun Hu & Raed A. Abd-Alhameed & Bilal Naji Alhasnawi, 2021. "A New Fractional-Order Chaotic System with Its Analysis, Synchronization, and Circuit Realization for Secure Communication Applications," Mathematics, MDPI, vol. 9(20), pages 1-25, October.
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    6. Sajjadi, Samaneh Sadat & Baleanu, Dumitru & Jajarmi, Amin & Pirouz, Hassan Mohammadi, 2020. "A new adaptive synchronization and hyperchaos control of a biological snap oscillator," Chaos, Solitons & Fractals, Elsevier, vol. 138(C).

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