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Multidimensional Events in Multilevel Systems

In: The Dynamics of Complex Urban Systems

Author

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  • Jeffrey Johnson

    (The Open University)

Abstract

Design involves assembling parts into whole to satisfy specified relationships. Binary relations between pairs of elements are not rich enough to represent the generality of this. Powerful though they are, graphs and networks must be extended to multidimensional networks to represent the many subtleties of complex systems. These structures underlie a natural theory of multilevel systems that has within it a kind of structural time defined by multidimensional events. Slow changing relational structure is discriminated from fast moving events captured by patterns of numbers. It will shown that the former acts as a kind of multilevel multidimensional backcloth for the multilevel multidimensional dynamic traffic of the latter. The theory will be illustrated by examples.

Suggested Citation

  • Jeffrey Johnson, 2008. "Multidimensional Events in Multilevel Systems," Springer Books, in: Sergio Albeverio & Denise Andrey & Paolo Giordano & Alberto Vancheri (ed.), The Dynamics of Complex Urban Systems, pages 311-334, Springer.
    • Handle: RePEc:spr:sprchp:978-3-7908-1937-3_15
    DOI: 10.1007/978-3-7908-1937-3_15
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    Cited by:

    1. Damián G. Hernández & Damián H. Zanette, 2014. "Cooperation within triplets in the rock-paper-scissors game," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 87(1), pages 1-7, January.

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