Grand Unification Theory for Complex systems projects

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Grand Unification Theory for Complex systems
projects

• 3 stream unification / GUT-C
• December 2006

Ariel Liebman ARC Centre for Complex
Systems University of Queensland,
Brisbane http//www.accs.edu.au
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General Complex Systems Concepts and Properties

• Properties of System
• Large number of component ( gt 2)
• Network implicit! (or explicit) as the
  representation of the structural map of
  interactions between components.
• Controversial statement 1 Network theory is NOT
  complex systems theory. But it is one of the key
  tools for it.
• Multi-scale such as space scale, time scale, and
  organisational/hierarchical level scale effects
  are essential
• Properties of components
• Nonlinear response
• Response timescales
• Variable connections to other components
• Useful views of systems
• Aggregation level (zoom level) Can apply both in
  space and in time.
• Self organisation and open systems
• Energy flow or its analogue (e.g.
  aircraft/passengers in ATC)
• Self organised criticality
• Exergy and Entropy
• Information theoretic measure of complexity
  (Shannon Entropy, Kolmogorov Complexity)

Benard Cells
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Looking for commonalities among the 3 streams

• Questions
• How do we find a commonalities between the
  streams?
• It appears that currently the level of detail of
  each node in the network is different for each of
  the streams preferred level of description
  hence
• Different levels of network detail
• Different levels of node detail due to
  aggregation levels
• For a common approach we may(?) need to aggregate
  to roughly the
• same number of nodes (within an order of
  magnitude)
• Similar network statistics (same power in the
  power law?) or same type of network (scale free
  or small world)

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Looking for commonalities among the 3 streams
(Please fill in!)
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Reading List

• A non-exhaustive reading list for us to get
  started with
• ACCS All Hands Day 2006 Presentations
  http//www.accs.edu.au/index/AllHandsDay06
• John Foster 2005 From simplistic to complex
  systems in economics
• Ben Amor, Lavallee and Bu Percolation,
  Pretopology and Complex Systems Modelling
  (Complex Systems and ATC).
• Yaneer Bar-Yam Dynamics of Complex Systems
  (1997), Full text is available as pdf on
  http//www.necsi.org/education/programs/dyn-fullte
  xt.html. Particularly Chapter 1.
• James Kay 2000 Life as a self-organising
  holarchic open system
• James Kay Thesis Chapter 3
• James Kay Thesis Chapter 6
• James Kay Thesis Appendix 1 Hard core
  thermodynamics hesis
• Schneider and Kay Life as a manifestation of the
  second law of thermodynamics