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.

A B C D E F G H I J K L M N O P Q R S T U V W Y Z

CELLULAR AUTOMATA ARRAY 2)

← Back

"… an interconnected collection of similar subunits … (each of which is) usually not to be more complex than a finite automaton" (p.45).

A. LlNDENMAYER and K. CULIK II define this model and state some shortcomings of former models of the kind: "In the case of the McCULLOCH-PITTS nerve net models, the problem is that the size of the array remains constant; furthermore, that the entire array behaves as a single finite automaton. In the case of von NEUMANN's self-reproducing automata, the array is laid out on a square grid and is allowed to grow only at the margins (i.e. the active part of the array). While these structures are as powerful as TURING machines, they are not suited to simulate in a realistic manner growing cells or multicellular organisms" (Ibid).

To remedy these limitations, the authors proposed a modeling method whose principle is what they call parallel rewriting of graphs.

The formalism they propose seems closely related to the specific problem of internal growth of networks, as for example in embryology and more generally in morphogenetic fields. The subject is also closely related to the "Physics of vegetal spirals" and FIBONACCI series (see St. DOUADY and Y. COUDER – 1993).

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]

We thank the following partners for making the open access of this volume possible:

© 2020 BCSSS Contact/Imprint