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Multistability Analysis and Adaptive Feedback Control on a New Financial Risk System

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Abstract

This study presents the findings of a new financial risk system with one absolute function and two quadratic nonlinearities. The rich dynamic behaviors of the new financial risk system are discussed analytically and numerically through stability analysis, phase portrait, bifurcation diagram, Lyapunov exponent, multistability and coexisting attractors. In addition, a new financial risk system with two quadratic nonlinearities and one absolute function shows multistability and coexistence of chaotic attractors. Using adaptive feedback control, we established a new control law for fully synchronising the proposed chaotic financial systems with itself. To conclude, some numerical simulation was presented using MATLAB to illustrate the efficiency of the designed method.

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Funding

This research was funded by Universitas Padjadjaran for the project financial support Research.

Author information

Author notes

  1. Aceng Sambas, Sundarapandian Vaidyanathan, Khaled Benkouider and Ibrahim Mohammed Sulaiman contributed equally to this work.

Authors and Affiliations

  1. Department of Mathematics, Universitas Padjadjaran, Jatinangor, Sumedang, 45363, Indonesia

    Muhamad Deni Johansyah

  2. Faculty of Informatics and Computing, Universiti Sultan Zainal Abidin, Campus Besut, 22200, Besut, Terengganu, Malaysia

    Aceng Sambas

  3. Department of Mechanical Engineering, Universitas Muhammadiyah Tasikmalaya, Tamansari Gobras, Tasikmalaya, 46196, Indonesia

    Aceng Sambas

  4. Center for Control System, Vel Tech University, Avaddi, Chennai, 60062, India

    Sundarapandian Vaidyanathan

  5. Department of Non-Destructive Automatic Testing Laboratory, Jijel University, Rue Rouikha Mokhta, 1800, Jijel, Algeria

    Khaled Benkouider

  6. School of Quantitative Science, University Utara Malaysia, Sintok, 06010, Bukit Kayu Hitam, Kedah, Malaysia

    Ibrahim Mohammed Sulaiman

Authors
  1. Muhamad Deni Johansyah
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  2. Aceng Sambas
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  3. Sundarapandian Vaidyanathan
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  4. Khaled Benkouider
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  5. Ibrahim Mohammed Sulaiman
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Contributions

Conceptualization, MDJ and AS; methodology, SV and KB; software, SV and KB; validation, IMS and AS; formal analysis, MDJ; investigation, MDJ and IMS; writing-original draft preparation, MDJ and AS; writing-review and editing, AS and SV; All authors have read and agreed to the published version of the manuscript.

Corresponding author

Correspondence to Muhamad Deni Johansyah.

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Johansyah, M.D., Sambas, A., Vaidyanathan, S. et al. Multistability Analysis and Adaptive Feedback Control on a New Financial Risk System. Int. J. Appl. Comput. Math 9, 88 (2023). https://doi.org/10.1007/s40819-023-01574-8

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  • DOI: https://doi.org/10.1007/s40819-023-01574-8

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