BCSSS

International Encyclopedia of Systems and Cybernetics

2nd Edition, as published by Charles François 2004 Presented by the Bertalanffy Center for the Study of Systems Science Vienna for public access.

About

The International Encyclopedia of Systems and Cybernetics was first edited and published by the system scientist Charles François in 1997. The online version that is provided here was based on the 2nd edition in 2004. It was uploaded and gifted to the center by ASC president Michael Lissack in 2019; the BCSSS purchased the rights for the re-publication of this volume in 200?. In 2018, the original editor expressed his wish to pass on the stewardship over the maintenance and further development of the encyclopedia to the Bertalanffy Center. In the future, the BCSSS seeks to further develop the encyclopedia by open collaboration within the systems sciences. Until the center has found and been able to implement an adequate technical solution for this, the static website is made accessible for the benefit of public scholarship and education.

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STRUCTURE (Lacunar) 2)

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In relation to CANTOR's triadic set, M. DUBOIS, P. ATTEN and P. BERGÉ explain as follows the nature of fractal dimensions:

"The set thus obtained is formed by rigorously ordered points, even if they seem irregularly distributed. Like all fractal objects, this set possesses a lacunar structure, which may be expressed by saying that its dimension is not whole, that it is "fractal". It is in no way a curve in view that an infinity of segments are not included. Its dimension is contained between 0 and 1 (0.63…) The same type of structure, in a qualitative sense, is to be found in a transversal section (i.e. a POINCARÉ section of the chaotic attractor constructed by contraction, stretching and folding ad infinitum of a small rectangle in the phases space. These operations transform a segment inside of the rectangle in the phases space into a set of points… whose dimension is also less than 1… As to the attractor it spreads out… in a complex fashion in a three-dimensional space. Its dimension is contained between 2 and 3." (1987, p.197).

Categories

  • 1) General information
  • 2) Methodology or model
  • 3) Epistemology, ontology and semantics
  • 4) Human sciences
  • 5) Discipline oriented

Publisher

Bertalanffy Center for the Study of Systems Science(2020).

To cite this page, please use the following information:

Bertalanffy Center for the Study of Systems Science (2020). Title of the entry. In Charles François (Ed.), International Encyclopedia of Systems and Cybernetics (2). Retrieved from www.systemspedia.org/[full/url]

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