Nonlinear Sciences – Adaptation and Self-Organizing Systems
Scientific paper
2004-08-03
Nonlinear Sciences
Adaptation and Self-Organizing Systems
CIPAC Tech Report 2004-1 delivered as a seminar in Feb 2004 in the LIPS Seminar Series, School of Chemical Engineering, Purdue
Scientific paper
We present a general holistic theory for the organization of complex networks, both human-engineered and naturally-evolved. Introducing concepts of value of interactions and satisfaction as generic network performance measures, we show that the underlying organizing principle is to meet an overall performance target for wide-ranging operating or environmental conditions. This design or survival requirement of reliable performance under uncertainty leads, via the maximum entropy principle, to the emergence of a power law vertex degree distribution. The theory also predicts exponential or Poisson degree distributions depending on network redundancy, thus explaining all three regimes as different manifestations of a common underlying phenomenon within a unified theoretical framework.
Patkar Priyan R.
Politis Dimitris N.
Venkatasubramanian Venkat
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