Piunovskiy, Alexey 
ORCID: 0000-0002-9683-4856 and Vasiev, Bakhti ORCID: 0000-0002-3452-7885
(2022)
Modelling Ethnogenesis.
[Preprint]
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2201.12873v1.pdf - Other Download (1MB) | Preview |
Abstract
Following the ideas of L.N.Gumilev, we introduce the mathematical model of ethnogenesis which describes the dynamics of subgroups in the developing polity in terms of ordinary differential equations. The bust dynamics associated with the rise and fall of civilisations is modelled as an excitation process, which is the non-linear phenomenon, well known in mathematical biology. We consider deterministic as well as the stochastic version of the model. We also expand the model to study the interaction between two polities undergoing ethnogenesis. Investigation is performed using analytical methods as well as numerical integration (i.e. MATLAB simulation).
| Item Type: | Preprint |
|---|---|
| Additional Information: | 20 pages, 11 figures |
| Uncontrolled Keywords: | math.DS, math.DS, math.PR, 37N25, 37M05, 92B05, 92D15, 92D25 |
| Divisions: | Faculty of Science and Engineering > School of Physical Sciences |
| Depositing User: | Symplectic Admin |
| Date Deposited: | 30 May 2024 15:05 |
| Last Modified: | 30 May 2024 15:05 |
| DOI: | 10.48550/arxiv.2201.12873 |
| Related URLs: | |
| URI: | https://livrepository.liverpool.ac.uk/id/eprint/3181870 |
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