Simple mathematical models with very complicated dynamics

  title={Simple mathematical models with very complicated dynamics},
  author={Robert M. May},
  • R. May
  • Published 10 June 1976
  • Mathematics
  • Nature
First-order difference equations arise in many contexts in the biological, economic and social sciences. Such equations, even though simple and deterministic, can exhibit a surprising array of dynamical behaviour, from stable points, to a bifurcating hierarchy of stable cycles, to apparently random fluctuations. There are consequently many fascinating problems, some concerned with delicate mathematical aspects of the fine structure of the trajectories, and some concerned with the practical… 

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