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Troy: A simple nonlinear mathematical perspective

Author

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  • Flores, J.C.
  • Bologna, Mauro

Abstract

In this paper, we propose a mathematical model for the Trojan war that, supposedly, took place around 1180 BC. Supported by archaeological findings and by Homer’s Iliad, we estimate the numbers of warriors, the struggle rate parameters, the number of individuals per hectare, and other related quantities. We show that the long siege of the city, described in the Iliad, is compatible with a power-law behaviour for the time evolution of the number of individuals. We are able to evaluate the parameters of our model during the phase of the siege and the fall. The proposed model is general, and it can be applied to other historical conflicts.

Suggested Citation

  • Flores, J.C. & Bologna, Mauro, 2013. "Troy: A simple nonlinear mathematical perspective," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(19), pages 4683-4687.
    • Handle: RePEc:eee:phsmap:v:392:y:2013:i:19:p:4683-4687
    DOI: 10.1016/j.physa.2013.06.003
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    References listed on IDEAS

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    1. Rojas-Pacheco, A. & Obregón-Quintana, B. & Liebovitch, L.S. & Guzmán-Vargas, L., 2013. "Time-delay effects on dynamics of a two-actor conflict model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(3), pages 458-467.
    2. Liebovitch, Larry S. & Naudot, Vincent & Vallacher, Robin & Nowak, Andrzej & Bui-Wrzosinska, Lan & Coleman, Peter, 2008. "Dynamics of two-actor cooperation–competition conflict models," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(25), pages 6360-6378.
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    Cited by:

    1. Flores, J.C., 2017. "Trojan War displayed as a full annihilation–diffusion–reaction model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 467(C), pages 432-435.
    2. Anelí Bongers & José L. Torres, 2021. "A bottleneck combat model: an application to the Battle of Thermopylae," Operational Research, Springer, vol. 21(4), pages 2859-2877, December.

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