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.
Here's the final, published version of my forward-looking chapter, "Nonlinearity + Networks: A 2020 Vision": https://t.co/eLdlD45oe8
— Mason Porter (@masonporter) May 30, 2020
It appears in the book "Emerging Frontiers in Nonlinear Science" (https://t.co/IBGX7bMyeA)
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