Saturday, May 30, 2020

"Nonlinearity + Networks: A 2020 Vision"

Here is the final, published version of my forward-looking book chapter about where network science and some directions that it is heading. It appears in the book Emerging Frontiers in Nonlinear Science.

Title: Nonlinearity + Networks: A 2020 Vision

Abstract: I briefly survey several fascinating topics in networks and nonlinearity. I highlight a few methods and ideas, including several of personal interest, that I anticipate to be especially important during the next several years. These topics include temporal networks (in which a network’s entities and/or their interactions change in time), stochastic and deterministic dynamical processes on networks, adaptive networks (in which a dynamical process on a network is coupled to dynamics of network structure), and network structure and dynamics that include “higher-order” interactions (which involve three or more entities in a network). I draw examples from a variety of scenarios, including contagion dynamics, opinion models, waves, and coupled oscillators.

And in case you want to help spread the word, here is my recent tweet.

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