Spiral orbits and oscillations in historical evolution of empires

Taksu Cheon and Sergey S. Poghosyan

Physica A: Statistical Mechanics and its Applications, 2017, vol. 469, issue C, 353-362

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 spiraling 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: Sociophysics; Historical dynamics; Turchin equation (search for similar items in EconPapers)
Date: 2017
References: View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:469:y:2017:i:c:p:353-362

DOI: 10.1016/j.physa.2016.11.035

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