Simple mathematical models with very complicated dynamics

@article{May1976SimpleMM,
  title={Simple mathematical models with very complicated dynamics},
  author={R. May},
  journal={Nature},
  year={1976},
  volume={261},
  pages={459-467}
}
  • R. May
  • Published 1976
  • Computer Science, Medicine
  • 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… Expand
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References

SHOWING 1-10 OF 69 REFERENCES
Deterministic nonperiodic flow
  • 14,076
  • PDF
Biological populations obeying difference equations: stable points, stable cycles, and chaos.
  • R. May
  • Mathematics, Medicine
  • Journal of theoretical biology
  • 1975
  • 370
  • PDF
Period Three Implies Chaos
  • 2,887
  • PDF
Some remarks on animal population dynamics.
  • 132
Oscillation in the Simple Logistic Growth Model
  • 65
...
1
2
3
4
5
...