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来源类型Article
规范类型其他
DOI10.1016/0960-0779(95)00011-9
A nonlinear dynamical model for the dynastic cycle.
Feichtinger G; Forst C; Piccardi C
发表日期1996
出处Chaos, Solitons and Fractals 7 (2): 257-271
出版年1996
语种英语
摘要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.
主题World Population (POP)
URLhttp://pure.iiasa.ac.at/id/eprint/4629/
来源智库International Institute for Applied Systems Analysis (Austria)
引用统计
资源类型智库出版物
条目标识符http://119.78.100.153/handle/2XGU8XDN/127489
推荐引用方式
GB/T 7714
Feichtinger G,Forst C,Piccardi C. A nonlinear dynamical model for the dynastic cycle.. 1996.
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