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Neimark-Sacker Bifurcation in a Discrete-Time Financial System

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  • Baogui Xin
  • Tong Chen
  • Junhai Ma

Abstract

A discrete-time financial system is proposed by using forward Euler scheme. Based on explicit Neimark-Sacker bifurcation (also called Hopf bifurcation for map) criterion, normal form method and center manifold theory, the system's existence, stability and direction of Neimark-Sacker bifurcation are studied. Numerical simulations are employed to validate the main results of this work. Some comparison of bifurcation between the discrete-time financial system and its continuous-time system is given.

Suggested Citation

  • Baogui Xin & Tong Chen & Junhai Ma, 2010. "Neimark-Sacker Bifurcation in a Discrete-Time Financial System," Discrete Dynamics in Nature and Society, Hindawi, vol. 2010, pages 1-12, September.
    • Handle: RePEc:hin:jnddns:405639
    DOI: 10.1155/2010/405639
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    References listed on IDEAS

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    1. Blé, Gamaliel & Dela-Rosa, Miguel Angel, 2019. "Neimark–Sacker bifurcation in a tritrophic model with defense in the prey," Chaos, Solitons & Fractals, Elsevier, vol. 123(C), pages 124-139.
    2. Jajarmi, Amin & Hajipour, Mojtaba & Baleanu, Dumitru, 2017. "New aspects of the adaptive synchronization and hyperchaos suppression of a financial model," Chaos, Solitons & Fractals, Elsevier, vol. 99(C), pages 285-296.

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