Simple mathematical models with very complicated dynamics

Details Simple mathematical models with very complicated dynamics Simple mathematical models with very complicated dynamics

Publishing date

Jun 1976

URL

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1976natur.261..459m&link_type=abstract

Journals

Nature, Volume 261, Issue 5560, pp. 459-467 (1976).

Science

Mathematics

Field

Logic

Additional info 2

491

Type

Scientific paper

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 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 implications and applications. This is an interpretive review of them.

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