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Simple Mathematical Models With Very Complicated Dynamics

DOI:10.1038/261459a0
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Robert M May at University of Oxford
Robert M May
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Abstract

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 hiearchy 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 implications and applications. This is an interpretive review of them.
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© Nature Publishing Group1976
© Nature Publishing Group1976
© Nature Publishing Group1976
© Nature Publishing Group1976
© Nature Publishing Group1976
© Nature Publishing Group1976
© Nature Publishing Group1976
© Nature Publishing Group1976
© Nature Publishing Group1976
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