Spatially embedded dynamics and complexity | Zendy

Buckley Christopher L. | Zendy; Bullock Seth | Zendy; Barnett Lionel | Zendy

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Spatially embedded dynamics and complexity

Author(s) -

Buckley Christopher L.,

Bullock Seth,

Barnett Lionel

Publication year - 2010

Publication title -

complexity

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.447

H-Index - 61

eISSN - 1099-0526

pISSN - 1076-2787

DOI - 10.1002/cplx.20337

Subject(s) - embedding , measure (data warehouse) , computer science , curse of dimensionality , simple (philosophy) , euclidean geometry , theoretical computer science , set (abstract data type) , complex system , dynamics (music) , statistical physics , mathematics , artificial intelligence , data mining , physics , philosophy , geometry , epistemology , acoustics , programming language

To gain a deeper understanding of the impact of spatial embedding on the dynamics of complex systems, we use a measure of interaction complexity developed within neuroscience using the tools of statistical information theory. We apply this measure to a set of simple network models embedded within Euclidean spaces of varying dimensionality to characterize the way in which the constraints imposed by low‐dimensional spatial embedding contribute to the dynamics (rather than the structure) of complex systems. We demonstrate that strong spatial constraints encourage high intrinsic complexity and discuss the implications for complex systems in general. © 2010 Wiley Periodicals, Inc. Complexity 16: 29–34, 2010

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