CYCLIC ORDER 2)
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The periodic reappearance of some sequence of activity in some behavioral pattern.
The classical example is the periodic fluctuations in the Belousov-Zhabotinskii reaction. (A. WINFREE, 1980).
This type of repetitive patterns is however very general in self-organizing structures. B.F. MADORE and W.L. FREEDMAN demonstrate as much by computer simulations (1987, p.252).
According to them: "All that is required for our simulated chemistry experiment is a mix of "elements" which react in such a way that they will be found sequentially in one of three main states (active, receptive and quiescent); that these states occur in a cyclic order; and that there are a few simple rules as to how one state leads to the next".
And"… the first basic forms found in these experiments – the rotating spirals and expanding closed circles – are topologically related. Once the circles are explained the spirals are, in fact, a natural (expected) consequence" (p.254).
"Interestingly, the computer model does not involve any chemistry per se; it works with only a set of "allowed states" and a set of rules for the interaction and transition between states" (p.255-6). It is fact a cellular automaton.
The subject is closely related to J. CONWAY's Game of Life, to I. PRIGOGINE's models of the emergence of order through bifurcation and nucleation; to Ch. LAVILLE's vortexes and to D. Mc NEIL's toroids.
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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