Spiral orbits and oscillations in historical evolution of empires
Physics and Society
2016-11-29 v2 Dynamical Systems
Chaotic Dynamics
Abstract
We introduce the concept of metaasabiya, the second non-material resource, to the asabiya theory of historical dynamics. We find that the resulting three variable dynamical system has peculiar features such as repelling or attracting axes and spiralling orbits in the phase space. Depending on the initial state, the system can go through series of oscillatory rises and falls, mimicking the geopolitical evolution of real-world polities. These distinctive features, absent in conventional Lotka-Volterra type biological systems, reveal the hidden richness inherent in the asabiya theory.
Keywords
Cite
@article{arxiv.1512.07715,
title = {Spiral orbits and oscillations in historical evolution of empires},
author = {Taksu Cheon and Sergey S. Poghosyan},
journal= {arXiv preprint arXiv:1512.07715},
year = {2016}
}
Comments
LaTeX 14 pages, 9 sets of figures. Revised version. See http://researchmap.jp/jorf7q88x-13620/#_13620 for less technical presentation (in Japanese)