an introduction for experimentalists
Faculty of Pharmacy
F-59006 Lille Cedex France
Thanks to Tony Phillips who helped with the text of the English version.
This document is in the process of being written ; I would very appreciate
remarks to improve it. Don't hesitate to disturb me : send
Catastrophe theory was introduced in the late 1960's by René Thom,
but his book "Stabilité structurelle et morphogenèse"
was only published in 1972. An english translation by David Fowler has
been available since 1975. (Thom R. - Structural stability and morphogenesis.
Benjamin Addison Wesley, New York, 1975.)
Thom's ideas were then developed by E.C. Zeeman who proposed many applications
in various domains. (see Zeeman E. C. - Catastrophe theory, selected papers.
Addison-Wesley publishing compagny, London, 1977.)
The cusp and its properties
The seven elementary catastrophes
- Catastrophes in systems with only one state variable:
- Catastrophes in systems with two state variables
Links about Catastrophe theory
- Catastrophe theory :
a lecture by E.C. Zeeman, Trinity University, San Antonio, March, 1995 (for any people)
- Chaos and Catastrophes :
a lecture by E.C. Zeeman, Research Conference in Dynamics #1, Boston
University, June 30 - July 3, 1991 (for mathematicians)
Ecology : Catastrophe Theory and Chaos Theory in Microbiology
infestations : The Catastrophe Theory Model is a model which predicts
grasshopper infestations based on climatic data (mean daily temperature
and three month precipitation accumulations) and historic site specific
information relevant to grasshopper population preferences. The model uses
catastrophe theory to predict grasshopper infestations based on the grasshopper
infestation level in the previous year and the weather data for the current
- Multiple Stable
States: The complex Dynamics of succession.
albicans morphogenesis : ... So, chlamydospore production seems
to be an "all or nothing" phenomenon, a complicated one: several
parameters control it at the same time; they have to cross a threshold;
this control threshold is a multidimensional one. Morphogenesis links environmental
continuous change with the sudden changes in shape expressed by Candida albicans.
Catastrophe theory proposes a framework to describe such phenomena.
- Web Dictionary
of Cybernetics and Systems :
- basin, behavior,
black box method,
Auteur: Lucien Dujardin
Faculté de Pharmacie BP 83 F 59006 Lille Cedex France