TY - JOUR
T1 - Troy
T2 - A simple nonlinear mathematical perspective
AU - Flores, J. C.
AU - Bologna, Mauro
PY - 2013/10/1
Y1 - 2013/10/1
N2 - 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.
AB - 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.
KW - Archaeo-math Troy
KW - Dynamical model
KW - Nonlinear
KW - Two-actor conflict
UR - https://www.scopus.com/pages/publications/84880328771
U2 - 10.1016/j.physa.2013.06.003
DO - 10.1016/j.physa.2013.06.003
M3 - Article
AN - SCOPUS:84880328771
SN - 0378-4371
VL - 392
SP - 4683
EP - 4687
JO - Physica A: Statistical Mechanics and its Applications
JF - Physica A: Statistical Mechanics and its Applications
IS - 19
ER -