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Exploring Chaos and Stability in a 3-D Finance Model with Absolute Function Nonlinearity

Author

Listed:
  • Muhamad Deni Johansyah

    (Department of Mathematics, Universitas Padjadjaran, Jatinangor, Sumedang 45363, Indonesia)

  • Sundarapandian Vaidyanathan

    (Centre for Control Systems, Vel Tech University, Avadi Chennai 600062, Tamil Nadu, India
    Centre of Excellence for Research, Value Innovation & Entrepreneurship (CERVIE), UCSI University, Cheras, Kuala Lumpur 56000, Malaysia)

  • Khaled Benkouider

    (Laboratory of Automatic and Signals of Annaba (LASA), Badji Mokhtar-Annaba University, P.O. Box 12, Annaba 23000, Algeria)

  • Aceng Sambas

    (Faculty of Informatics and Computing, Universiti Sultan Zainal Abidin, Besut Campus, Besut 22200, Malaysia
    Department of Mechanical Engineering, Universitas Muhammadiyah Tasikmalaya, Tasikmalaya 46196, Indonesia
    Artificial Intelligence for Sustainability and Islamic Research Center (AISIR), Universiti Sultan Zainal Abidin, Gongbadak, Kuala Nerus 21300, Malaysia)

  • Kandimalla Mallikarjuna Rao

    (Department of Electronics and Communication Engineering, KKR & KSR Institute of Technology and Sciences, Guntur 522017, Andhra Pradesh, India)

  • Katuru Anjaneyulu

    (Department of Electronics and Communication Engineering, KITS Akshar Institute of Technology, Yanamadala, Guntur 522019, Andhra Pradesh, India)

Abstract

This paper introduces a novel chaotic finance system derived by incorporating a modeling uncertainty with an absolute function nonlinearity into existing financial systems. The new system, based on the works of Gao and Ma, and Vaidyanathan et al., demonstrates enhanced chaotic behavior with a maximal Lyapunov exponent (MLE) of 0.1355 and a fractal Lyapunov dimension of 2.3197. These values surpass those of the Gao-Ma system (MLE = 0.0904, Lyapunov dimension = 2.2296) and the Vaidyanathan system (MLE = 0.1266, Lyapunov dimension = 2.2997), signifying greater complexity and unpredictability. Through parameter analysis, the system transitions between periodic and chaotic regimes, as confirmed by bifurcation diagrams and Lyapunov exponent spectra. Furthermore, multistability is demonstrated with coexisting chaotic attractors for p = 0.442 and periodic attractors for p = 0.48. The effects of offset boosting control are explored, with attractor positions adjustable by varying a control parameter k , enabling transitions between bipolar and unipolar chaotic signals. These findings underline the system’s potential for advanced applications in secure communications and engineering, providing a deeper understanding of chaotic finance models.

Suggested Citation

  • Muhamad Deni Johansyah & Sundarapandian Vaidyanathan & Khaled Benkouider & Aceng Sambas & Kandimalla Mallikarjuna Rao & Katuru Anjaneyulu, 2025. "Exploring Chaos and Stability in a 3-D Finance Model with Absolute Function Nonlinearity," Mathematics, MDPI, vol. 13(5), pages 1-16, February.
    • Handle: RePEc:gam:jmathe:v:13:y:2025:i:5:p:735-:d:1598665
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    References listed on IDEAS

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    1. Sun, Xiaojun & Lei, Yalin, 2021. "Research on financial early warning of mining listed companies based on BP neural network model," Resources Policy, Elsevier, vol. 73(C).
    2. Kumar, Nikhil & Poonia, Vikas & Gupta, B.B. & Goyal, Manish Kumar, 2021. "A novel framework for risk assessment and resilience of critical infrastructure towards climate change," Technological Forecasting and Social Change, Elsevier, vol. 165(C).
    3. Banna, Hasanul & Mia, Md Aslam & Nourani, Mohammad & Yarovaya, Larisa, 2022. "Fintech-based Financial Inclusion and Risk-taking of Microfinance Institutions (MFIs): Evidence from Sub-Saharan Africa," Finance Research Letters, Elsevier, vol. 45(C).
    4. Ullah, Fahim & Qayyum, Siddra & Thaheem, Muhammad Jamaluddin & Al-Turjman, Fadi & Sepasgozar, Samad M.E., 2021. "Risk management in sustainable smart cities governance: A TOE framework," Technological Forecasting and Social Change, Elsevier, vol. 167(C).
    5. Eisenbach, Thomas M. & Kovner, Anna & Lee, Michael Junho, 2022. "Cyber risk and the U.S. financial system: A pre-mortem analysis," Journal of Financial Economics, Elsevier, vol. 145(3), pages 802-826.
    6. Chaudhry, Sajid M. & Ahmed, Rizwan & Huynh, Toan Luu Duc & Benjasak, Chonlakan, 2022. "Tail risk and systemic risk of finance and technology (FinTech) firms," Technological Forecasting and Social Change, Elsevier, vol. 174(C).
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