Complexity International       /vol07/degtia01/ © Copyright 2000     
Volume 7 Received: 
Accepted: 		 07/08/1999
28/02/2000


Systems analysis: mathematical modeling and approach to structural complexity measure using polyhedral dynamics approach

Degtiarev, K.
Abstract
     This research paper analyzes and proposes modification of the Polyhedral Dynamics procedure which is based on algebraic (and geometric) representation of a system’s structure as a simplicial complex. Mathematical analysis of complex refers to the studying of multidimensional chains of connectivity, and its results provide a background for measuring structural complexity. The term «complexity» is many-sided, and in the present paper it is examined through connectivity and relations between a system’s elements. As it is discussed, complexity of structure expressed in numeric form is non-informative, but even at the initial stage of analysis it becomes reasonable to express complexity linguistically, to fill the results of the mathematical modeling stage with meaning. The appropriateness of a sequential using of mathematical and logical models is considered.


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Reference Links
  • http://www.lse.ac.uk/lse/complex/
  • http://pespmc1.vub.ac.be/
  • http://www.cpm.mmu.ac.uk/~bruce/evolcomp/
  • http://www.cpm.mmu.ac.uk/~bruce/combib/
  • http://www.cpm.mmu.ac.uk/cpmrep23.html
  • http://www.stat.ux.his.no/~anar/ess/back_to_basics.html
  • http://pespmc1.vub.ac.be/
  • http://www.calresco.org/group/conflict.htm
  • http://pespmc1.vub.ac.be/MACRBOOK.html

    Citation Reference
    Degtiarev, K. (2000), Systems analysis: mathematical modeling and approach to structural complexity measure using polyhedral dynamics approach, Complexity International, Volume 7, Paper ID: degtia01, URL: http://www.complexity.org.au/ci/vol07/degtia01/
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