Towards the global: complexity, topology and chaos in modelling, simulation and computation

1997/10/09 by David Meyer, David A. Meyer, Meyer, David A.
Computer Science · Economics, Econometrics and Finance · Mathematics · Physics and Astronomy · #Cellular Automata and Applications #Economic theories and models #Mathematical Dynamics and Fractals #chao-dyn #nlin.CD

paper · pdf · doi:10.48550/arxiv.chao-dyn/9710005

12 pages, plain TeX; minor corrections, primarily to references

arxiv created 1997/10/17 · arxiv updated 2009/11/30

Abstract

Topological effects produce chaos in multiagent simulation and distributed computation. We explain this result by developing three themes concerning complex systems in the natural and social sciences: (i) Pragmatically, a system is complex when it is represented efficiently by different models at different scales. (ii) Nontrivial topology, identifiable as we scale towards the global, induces complexity in this sense. (iii) Complex systems with nontrivial topology are typically chaotic.

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