Steven H. Strogatz

TL;DR: The theory of random graphs with arbitrary degree distributions was developed in detail in this article, where exact expressions for the position of the phase transition at which a giant component first forms, the mean component size, the size of the giant component if there is one, and the mean number of vertices a certain distance away from a randomly chosen vertex were derived.

TL;DR: In this paper, the experimental current-voltage characteristics of long, discrete, one-dimensional Josephson junction arrays with open boundaries and in an external magnetic field were investigated. And the authors used a multi-mode extension of the harmonic balance analysis, and estimate the resonance frequencies, the AC voltage amplitudes, and the theoretical limit on the output power on the first two steps.

TL;DR: In this article, the dynamics of one-dimensional arrays of Josephson junctions connected in parallel by superconducting wires are studied. But the model is more complicated than that of the purely 1D sine-Gordon system.

TL;DR: A model in which agents who make decisions using either automatic or controlled processing compete with each other for survival is introduced, shedding light on the connection between evolution and human cognition and suggesting necessary conditions for the rise and fall of rationality.

TL;DR: In this paper, a system of N identical interacting particles moving on the unit sphere in d-dimensional space is studied, and the authors use group theory to explain the recent discovery that the model shows low-dimensional dynamics for all N ≥ 3 and clarify why it admits the analog of the Ott-Antonsen ansatz in the continuum limit N→∞.