Simple mathematical models with very complicated dynamics.

R M May

doi:10.1038/261459a0

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Simple mathematical models with very complicated dynamics.

R 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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Diffusion Mathematics Models, Theoretical Population Dynamics Journal Article Research Support, U.S. Gov't, Non-P.H.S.

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R M May. 1976-06-10. Simple mathematical models with very complicated dynamics.. https://doi.org/10.1038/261459a0

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