Nonlinearity + Networks: A 2020 Vision #MMPMIDC7258850
Porter MA
Emerging Frontiers in Nonlinear Science 2020[]; 32 (ä): 131-59 PMIDC7258850show ga
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.