The Multidimensional Networks of Complex Systems

  • Jeffrey Johnson

Abstract

Two-dimensional networks have been very successful for representing a wide class of problems in the physical and social sciences. The idea that the connectivity of the network constrains the flows on a network can be generalized to a much wider class of complex systems. Multidimensional polyhedra are the analogues of links in networks, and these too have a connectivity through their shared vertices. This combinatorial mathematics underlies a methodology for representing and analyzing very large hierarchical and heterarchical systems, while ensuring compatibility between data at all levels of aggregation. The goal of the methodology is to provide means of analyzing and understanding the dynamic behavior of systems of all degrees of complexity. No prior knowledge of the approach is assumed.

Keywords

Transportation Metaphor Milton 

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Copyright information

© Springer-Verlag Berlin Heidelberg 1995

Authors and Affiliations

  • Jeffrey Johnson
    • 1
  1. 1.Centre for Configurational StudiesThe Open UniversityMilton KeynesEngland

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