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Invariant submanifold for series arrays of Josephson junctions
Seth A. Marvel, Steven H. Strogatz
We study the nonlinear dynamics of series arrays of Josephson junctions in the large-N limit, where N is the number of junctions in the array. The junctions are assumed to be ident…
Superlinear Scaling for Innovation in Cities
Samuel Arbesman, Jon M. Kleinberg, Steven H. Strogatz
Superlinear scaling in cities, which appears in sociological quantities such as economic productivity and creative output relative to urban population size, has been observed but n…
Exact Results for the Kuramoto Model with a Bimodal Frequency Distribution
E. A. Martens, E. Barreto, S. H. Strogatz +3
We analyze a large system of globally coupled phase oscillators whose natural frequencies are bimodally distributed. The dynamics of this system has been the subject of long-standi…
A Monte Carlo Approach to Joe DiMaggio and Streaks in Baseball
S. Arbesman, S. H. Strogatz
We examine Joe DiMaggio's 56-game hitting streak and look at its likelihood, using a number of simple models. And it turns out that, contrary to many people's expectations, an extr…
Stability diagram for the forced Kuramoto model
Lauren M. Childs, Steven H. Strogatz
We analyze the periodically forced Kuramoto model. This system consists of an infinite population of phase oscillators with random intrinsic frequencies, global sinusoidal coupling…
Solvable model for chimera states of coupled oscillators
Daniel M. Abrams, Renato E. Mirollo, Steven H. Strogatz +1
Networks of identical, symmetrically coupled oscillators can spontaneously split into synchronized and desynchronized sub-populations. Such chimera states were discovered in 2002,…