eprintid: 4629
rev_number: 5
eprint_status: archive
userid: 351
dir: disk0/00/00/46/29
datestamp: 2016-01-15 02:06:42
lastmod: 2021-08-27 17:15:26
status_changed: 2016-01-15 02:06:42
type: article
metadata_visibility: show
item_issues_count: 1
creators_name: Feichtinger, G.
creators_name: Forst, C.
creators_name: Piccardi, C.
creators_id: 1555
title: A nonlinear dynamical model for the dynastic cycle
ispublished: pub
internal_subjects: iis_mod
internal_subjects: iis_pop
internal_subjects: iis_mig
divisions: prog_pop
abstract: A three-class model of society (farmers, bandits and rulers) is considered in order to explain alternation between despotism and anarchy in ancient China. In the absence of authority, the dynamics of farmers and bandits are governed by the well-known prey-predator interactions. Rulers impose taxes on farmers and punish bandits by execution. Thus, farmers are a sort of renewable resource which is exploited both by bandits and by rulers. Assuming that the dynamics of rulers is slow compared with those of farmers and bandits, slow-fast limit cycles can be identified through a singular perturbation approach. This provides a possible explanation for the accomplishment of an endogenously generated dynastic cycle, i.e. a periodic switching of society between despotism and anarchy. Moreover, there is numerical evidence for the occurrence of a cascade of period-doubling bifurcations leading to chaotic behaviour.
date: 1996-02
date_type: published
publisher: Elsevier
id_number: 10.1016/0960-0779(95)00011-9
iiasapubid: XJ-96-077
iiasa_bibref: Chaos, Solitons and Fractals; 7(2):257-271 (February 1996)
iiasa_bibnotes: [doi:10.1016/0960-0779(95)00011-9]
creators_browse_id: 2589
full_text_status: none
publication: Chaos, Solitons and Fractals
volume: 7
number: 2
pagerange: 257-271
refereed: TRUE
issn: 1873-2887
coversheets_dirty: FALSE
fp7_type: info:eu-repo/semantics/article
citation:   Feichtinger, G. <https://pure.iiasa.ac.at/view/iiasa/2589.html>, Forst, C., & Piccardi, C.  (1996).  A nonlinear dynamical model for the dynastic cycle.   Chaos, Solitons and Fractals 7 (2) 257-271. 10.1016/0960-0779(95)00011-9 <https://doi.org/10.1016/0960-0779%2895%2900011-9>.