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Collective dynamics of ‘small-world’ networks
TLDR
We explore simple models of networks that can be tuned through this middle ground: regular networks ‘rewired’ to introduce increasing amounts of disorder. Expand
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Random graphs with arbitrary degree distributions and their applications.
Recent work on the structure of social networks and the internet has focused attention on graphs with distributions of vertex degree that are significantly different from the Poisson degreeExpand
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Exploring complex networks
The study of networks pervades all of science, from neurobiology to statistical physics. The most basic issues are structural: how does one characterize the wiring diagram of a food web or theExpand
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From Kuramoto to Crawford: exploring the onset of synchronization in populations of coupled oscillators
The Kuramoto model describes a large population of coupled limit-cycle oscillators whose natural frequencies are drawn from some prescribed distribution. If the coupling strength exceeds a certainExpand
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Random graph models of social networks
TLDR
We describe some new exactly solvable models of the structure of social networks, based on random graphs with arbitrary degree distributions. Expand
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Network robustness and fragility: percolation on random graphs.
Recent work on the Internet, social networks, and the power grid has addressed the resilience of these networks to either random or targeted deletion of network nodes or links. Such deletionsExpand
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Quantifying the benefits of vehicle pooling with shareability networks
TLDR
We propose the method of shareability networks, which translates spatio-temporal sharing problems into a graph-theoretic framework that provides efficient solutions. Expand
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Linguistics: Modelling the dynamics of language death
Thousands of the world's languages are vanishing at an alarming rate, with 90% of them being expected to disappear with the current generation. Here we develop a simple model of language competitionExpand
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Modeling a synthetic multicellular clock: repressilators coupled by quorum sensing.
Diverse biochemical rhythms are generated by thousands of cellular oscillators that somehow manage to operate synchronously. In fields ranging from circadian biology to endocrinology, it remains anExpand
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Synchronization of Lorenz-based chaotic circuits with applications to communications
TLDR
A circuit implementation of the chaotic Lorenz system is described. Using the concept of synchronized chaotic systems (SCS's), two possible approaches to secure communications are demonstrated with the Lorenz circuit implemented in both the transmitter and receiver. Expand
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