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Synchronization in a market model with time delays

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  • Ghassan Dibeh
  • Omar El Deeb

Abstract

We examine a system of N=2 coupled non-linear delay-differential equations representing financial market dynamics. In such time delay systems, coupled oscillations have been derived. We linearize the system for small time delays and study its collective dynamics. Using analytical and numerical solutions, we obtain the bifurcation diagrams and analyze the corresponding regions of amplitude death, phase locking, limit cycles and market synchronization in terms of the system frequency-like parameters and time delays. We further numerically explore higher order systems with N>2, and demonstrate that limit cycles can be maintained for coupled N-asset models with appropriate parameterization.

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  • Ghassan Dibeh & Omar El Deeb, 2024. "Synchronization in a market model with time delays," Papers 2405.00046, arXiv.org.
    • Handle: RePEc:arx:papers:2405.00046
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    References listed on IDEAS

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    1. Dibeh, Ghassan, 2007. "Contagion effects in a chartist–fundamentalist model with time delays," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 382(1), pages 52-57.
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    4. Dibeh, Ghassan, 2005. "Speculative dynamics in a time-delay model of asset prices," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 355(1), pages 199-208.
    5. Martens, Martin & Poon, Ser-Huang, 2001. "Returns synchronization and daily correlation dynamics between international stock markets," Journal of Banking & Finance, Elsevier, vol. 25(10), pages 1805-1827, October.
    6. Serwa, Dobromil & Bohl, Martin T., 2005. "Financial contagion vulnerability and resistance: A comparison of European stock markets," Economic Systems, Elsevier, vol. 29(3), pages 344-362, September.
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