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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 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.
A synchronization network is a network of coupled dynamical systems.It consists of a network connecting oscillators, where oscillators are nodes that emit a signal with somewhat regular (possibly variable) frequency, and are also capable of receiving a signal.
Swarmalators [1] are generalizations of phase oscillators [2] that swarm around in space as they synchronize in time. They were introduced to model the diverse real-world systems which both sync and swarm, such as vinegar eels, [3] magnetic domain walls, [4] and Japanese tree frogs. [5]
In the recent 2003 book SYNC – the Emerging Science of Spontaneous Order by Steven Strogatz, for example, we find "Scientists have often been baffled by the existence of spontaneous order in the universe.
A description of heterogeneous social networks still remains an open question. 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).
A certain category of small-world networks were identified as a class of random graphs by Duncan Watts and Steven Strogatz in 1998. [4] They noted that graphs could be classified according to two independent structural features, namely the clustering coefficient, and average node-to-node distance (also known as average shortest path length).
Steven Strogatz 1976 – Professor of Applied Mathematics, Cornell University, recipient of Presidential Young Investigator Award, author of SYNC: The Emerging Science of Spontaneous Order, math blogger for The New York Times (2010)