IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v130y2020ics0960077919303583.html
   My bibliography  Save this article

Application and research of fractional differential equations in dynamic analysis of supply chain financial chaotic system

Author

Listed:
  • Ma, Yutian
  • Li, Wenwen

Abstract

This paper first introduces the numerical solution of fractional differential equations and the method of discriminating chaos, which lays a mathematical foundation for the later study of fractional-order chaotic systems. Secondly, the thesis uses the theoretical knowledge of fractional differential to construct a new three-dimensional supply chain fractional differential game model. The numerical simulation analysis of the complex dynamic behavior of the model is carried out to investigate the influence of the output adjustment velocity parameters on the dynamic behavior of the system. The parameter control method is used to chaotic control of the multi-period bifurcation and unstable periodic orbit of the producer’s production decision, so that the chaotic model is re-stabilized to the Nash equilibrium state. Finally, the paper constructs a new financial model of fractional time delay and analyzes the basic dynamics of the system in detail. In addition, the stability analysis of the system is carried out by using Lyapunov stability theory, and then the controller is designed to realize the chaotic control of the system, which provides theoretical guidance for the stable development of the financial market.

Suggested Citation

  • Ma, Yutian & Li, Wenwen, 2020. "Application and research of fractional differential equations in dynamic analysis of supply chain financial chaotic system," Chaos, Solitons & Fractals, Elsevier, vol. 130(C).
  • Handle: RePEc:eee:chsofr:v:130:y:2020:i:c:s0960077919303583
    DOI: 10.1016/j.chaos.2019.109417
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077919303583
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.chaos.2019.109417?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Abdullahi, Auwal, 2021. "Modelling of transmission and control of Lassa fever via Caputo fractional-order derivative," Chaos, Solitons & Fractals, Elsevier, vol. 151(C).
    2. Hamede Karami & Saleh Mobayen & Marzieh Lashkari & Farhad Bayat & Arthur Chang, 2021. "LMI-Observer-Based Stabilizer for Chaotic Systems in the Existence of a Nonlinear Function and Perturbation," Mathematics, MDPI, vol. 9(10), pages 1-15, May.
    3. Bekiros, Stelios & Yao, Qijia & Mou, Jun & Alkhateeb, Abdulhameed F. & Jahanshahi, Hadi, 2023. "Adaptive fixed-time robust control for function projective synchronization of hyperchaotic economic systems with external perturbations," Chaos, Solitons & Fractals, Elsevier, vol. 172(C).
    4. Ya-Ru Zhu & Zhong-Xuan Mao & Jing-Feng Tian & Ya-Gang Zhang & Xin-Ni Lin, 2022. "Oscillation and Nonoscillatory Criteria of Higher Order Dynamic Equations on Time Scales," Mathematics, MDPI, vol. 10(5), pages 1-17, February.
    5. Lei Xie & Hongshuai Han, 2020. "Capacity Sharing and Capacity Investment of Environment-Friendly Manufacturing: Strategy Selection and Performance Analysis," IJERPH, MDPI, vol. 17(16), pages 1-20, August.
    6. Liu, Donghui & Gao, Xiangyun & An, Haizhong & Jia, Nanfei & Wang, Anjian, 2024. "Exploring market instability of global lithium resources based on chaotic dynamics analysis," Resources Policy, Elsevier, vol. 88(C).

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:chsofr:v:130:y:2020:i:c:s0960077919303583. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Thayer, Thomas R. (email available below). General contact details of provider: https://www.journals.elsevier.com/chaos-solitons-and-fractals .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.