Small-world networks are small networks and highly clustered, scale-free link distributions (brain, power grid, social networks).Average path length (degree of separation) and clustering (how big, how incestuous) are two important factors.The layout of the web must profoundly shape it’s dynamics The same must be true for species in an ecosystem. The structure of social networks affects the spread of information and disease the structure of power grids affects the stability of power transmission. The coincidences are eerie, and baffling to interpret Disparate networks show the same three tendencies: short chains, high clustering, and scale-free link distributions. At an anatomical level – the level of pure, abstract connectivity – we seem to have stumbled upon a universal pattern of complexity.They are resilient, robust, reliable, efficient, effective, cheap. Small world networks are ubiquitous in nature, technology, social interactions, etc.Small world networks – most networks resemble each other in design with most everyone connected by a short chain of intermediaries with hubs having the most connections.Tends to exhibit self-organized criticality which leads to cascade effects as increasing pressure builds up and overcomes a threshold (earthquakes).Chaotic systems can sync! No rhythmic it’s (periodic cycles) and scrambling communication lines is one example.Non-linear = whole is greater than the sum of the parts.Linear = whole is equal to sum of the parts.
And it never repeats itself: it’s behavior is non-periodic It’s predictable in the short run but unpredictable in the long run. Looks erratic superficially, yet it contains cryptic patterns and is governed by rigid rules. Occupies an unfamiliar middle ground between order and disorder.
Spontaneous order baffles scientists as thermodynamics seems to predict the opposite – greater disorder and entropy rather than order.It pervades nature at every scale and spontaneously, almost as if nature has an eerie yearning for order At the heart of the universe is a steady, insistent beat – the sound of cycles in sync.
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