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Chaotic Growth with the Logistic Model of P.-F. Verhulst

  • Hugo Pastijn
Part of the Understanding Complex Systems book series (UCS)

Summary

Pierre-François Verhulst was born 200 years ago. After a short biography of P.-F. Verhulst in which the link with the Royal Military Academy in Brussels is emphasized, the early history of the so-called “Logistic Model” is described. The relationship with older growth models is discussed, and the motivation of Verhulst to introduce different kinds of limited growth models is presented. The (re-)discovery of the chaotic behaviour of the discrete version of this logistic model in the late previous century is reminded. We conclude by referring to some generalizations of the logistic model, which were used to describe growth and diffusion processes in the context of technological innovation, and for which the author studied the chaotic behaviour by means of a series of computer experiments, performed in the eighties of last century by means of the then emerging “micro-computer” technology.

Keywords

Logistic Model Chaotic Behaviour Discrete Version Chaos Theory Continuous Time Model 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2006

Authors and Affiliations

  • Hugo Pastijn
    • 1
  1. 1.Department of MathematicsRoyal Military AcademyBrusselsBelgium

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