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Qualitative Study of a 4D Chaos Financial System

Author

Listed:
  • Fuchen Zhang
  • Gaoxiang Yang
  • Yong Zhang
  • Xiaofeng Liao
  • Guangyun Zhang

Abstract

Some dynamics of a new 4D chaotic system describing the dynamical behavior of the finance are considered. Ultimate boundedness and global attraction domain are obtained according to Lyapunov stability theory. These results are useful in estimating the Lyapunov dimension of attractors, Hausdorff dimension of attractors, chaos control, and chaos synchronization. We will also present some simulation results. Furthermore, the volumes of the ultimate bound set and the global exponential attractive set are obtained.

Suggested Citation

  • Fuchen Zhang & Gaoxiang Yang & Yong Zhang & Xiaofeng Liao & Guangyun Zhang, 2018. "Qualitative Study of a 4D Chaos Financial System," Complexity, Hindawi, vol. 2018, pages 1-5, July.
    • Handle: RePEc:hin:complx:3789873
    DOI: 10.1155/2018/3789873
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    Cited by:

    1. Bazán Navarro, Ciro Eduardo & Benazic Tomé, Renato Mario, 2024. "Qualitative behavior in a fractional order IS-LM-AS macroeconomic model with stability analysis," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 217(C), pages 425-443.

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