Feichtinger G, Sorger G
Math Popul Stud. 1990;2(2):93-103, 161. doi: 10.1080/08898489009525296.
"One of the recent interesting hypotheses of population growth is due to Easterlin who suggests the possibility of self-generating fluctuations in birth numbers. The present paper tries to answer the question whether feedback mechanisms produce persistent oscillations in population growth. A system of two nonlinear differential equations for the per capita capital stock and the aspiration level is studied by a phase portrait analysis. Using the Poincare-Bendixson theorem we derive sufficient conditions for the existence of a stable limit cycle." (SUMMARY IN FRE)
近期关于人口增长的一个有趣假说是由伊斯特林提出的，他认为出生人数可能会出现自我产生的波动。本文试图回答反馈机制是否会在人口增长中产生持续振荡这一问题。通过相图分析研究了一个关于人均资本存量和期望水平的两个非线性微分方程系统。利用庞加莱 - 本迪克松定理，我们推导出了存在稳定极限环的充分条件。 （法文摘要）
