The Logistic Map and the Route to Chaos

From the Beginnings to Modern Applications

By: Marcel Ausloos, ?Michel Dirickx

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eText | 11 February 2006 | Edition Number 1

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Pierre-Francois Verhulst, with his seminal work using the logistic map to describe population growth and saturation, paved the way for the many applications of this tool in modern mathematics, physics, chemistry, biology, economics and sociology. Indeed nowadays the logistic map is considered a useful and paradigmatic showcase for the route leading to chaos. This volume gathers contributions from some of the leading specialists in the field to present a state-of-the art view of the many ramifications of the developments initiated by Verhulst over a century ago.