A novel approach to analysing fixed points in complex systems

Weaver, Iain S. and Dyke, J. G. (2012) A novel approach to analysing fixed points in complex systems At European Conference for Complex Systems 2012, Belgium. 03 - 07 Sep 2012.


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Complex systems are frequently characterised as systems of many components whose interactions drive a plethora of emergent phenomena. Understanding the history and future behaviour of planet Earth, arguably the most complex known system in the universe, is an ambitious goal and remains at the core of complexity science. From the establishment of the planet's magnetic dipole, to the interplay between life and it's environment. The dynamics across all scales are characterised by their numerous interacting components.

Of particular interest is how such a system may be stable at all, and the role of life in establishing this apparent stability. We present a novel analytic approach to a model of a coupled life-environment system. The model demonstrates that even random couplings between many many species, and a multidimensional environment can produce stable, and robust configurations. The extent to which this observation is general, rather than being unique to the intricacies of the model may only be revealed by thorough analysis. The model is found to be invariant with the number of biotic components past a lower limit. Additionally, rather than increases in environmental complexity leading to a reduction in the possibility of steady states, it is proven that the converse is true, suggesting that the proposed mechanism may be applicable to even high dimensional complexity.

Item Type: Conference or Workshop Item (Paper)
Venue - Dates: European Conference for Complex Systems 2012, Belgium, 2012-09-03 - 2012-09-07
Subjects: Q Science > QA Mathematics > QA75 Electronic computers. Computer science
Organisations: Agents, Interactions & Complexity
ePrint ID: 343094
Date :
Date Event
7 September 2012e-pub ahead of print
Date Deposited: 26 Sep 2012 10:01
Last Modified: 17 Apr 2017 16:36
Further Information:Google Scholar
URI: http://eprints.soton.ac.uk/id/eprint/343094

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