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Strogatz's writing for the general public includes four books and frequent newspaper articles. His book Sync [23] was chosen as a Best Book of 2003 by Discover Magazine. [24] His 2009 book The Calculus of Friendship [25] was called "a genuine tearjerker" [26] and "part biography, part autobiography and part off-the-beaten-path guide to calculus."
The Watts–Strogatz model is a random graph generation model that produces graphs with small-world properties, including short average path lengths and high clustering. It was proposed by Duncan J. Watts and Steven Strogatz in their article published in 1998 in the Nature scientific journal. [ 1 ]
Watts and Strogatz then proposed a novel graph model, currently named the Watts and Strogatz model, with (i) a small average shortest path length, and (ii) a large clustering coefficient. The crossover in the Watts–Strogatz model between a "large world" (such as a lattice) and a small world was first described by Barthelemy and Amaral in 1999 ...
Created Date: 8/30/2012 4:52:52 PM
Dynamical systems theory and chaos theory deal with the long-term qualitative behavior of dynamical systems.Here, the focus is not on finding precise solutions to the equations defining the dynamical system (which is often hopeless), but rather to answer questions like "Will the system settle down to a steady state in the long term, and if so, what are the possible steady states?", or "Does ...
The existence of ripple solutions was predicted (but not observed) by Wiley, Strogatz and Girvan, [20] who called them multi-twisted q-states. The topology on which the Kuramoto model is studied can be made adaptive [ 21 ] by use of fitness model showing enhancement of synchronization and percolation in a self-organised way.
Though much research was not done for a number of years, in 1998 Duncan Watts and Steven Strogatz published a breakthrough paper in the journal Nature. Mark Buchanan said, "Their paper touched off a storm of further work across many fields of science" (Nexus, p60, 2002). See Watts' book on the topic: Six Degrees: The Science of a Connected Age.
He is also author of two books. His first, Six Degrees: The Science of a Connected Age [ 4 ] is based on the six degrees research in his 1998 paper with Steven Strogatz , in which the two presented a mathematical theory of the small world phenomenon . [ 17 ]