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Zbl 0754.90014
Puu, T.
Chaos in business cycles. (English)
[J] Chaos Solitons Fractals 1, No.5, 457-473 (1991). ISSN 0960-0779

Summary: The business cycle is studied in terms of the mapping $Z\sb t=\lambda Z\sb{t-1}-(\lambda+1)Z\sp 3\sb{t-1}-\sigma Y\sb{t-1}$, $Y\sb t=Z\sb{t- 1}+Y\sb{t-1}$, where the variables $Y$, $Z$ denote income and rate of income change respectively, and $\lambda$, $\sigma$ are two structural parameters. The model produces chaotic or periodic output for income differences. For small $\sigma$ income acts as a slow feedback causing bifurcations between periodic and chaotic behaviour over the cycle. Typically, transitions between prosperity and depression set in with chaos after which there follows a period halving route to order.

MSC 2000:: *91B62 Dynamic economic models etc.
37D45 Strange attractors, chaotic dynamics

Keywords: business cycle; bifurcations; periodic and chaotic behaviour; cycle

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