3.7k citations · 14.1k across the 66 of their papers we have counts for
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Kuramoto model with uniformly spaced frequencies:Finite-N asymptotics of the locking threshold
Bertrand Ottino-Loffler, Steven Strogatz
We study phase locking in the Kuramoto model of coupled oscillators in the special case where the number of oscillators, , is large but finite, and the oscillators' natural freq…
Evolutionary game dynamics of controlled and automatic decision-making
Danielle F. P. Toupo, Steven H. Strogatz, Jonathan D. Cohen +1
We integrate dual-process theories of human cognition with evolutionary game theory to study the evolution of automatic and controlled decision-making processes. We introduce a mod…
Nonlinear Dynamics of the Rock-Paper-Scissors Game with Mutations
Danielle F. P. Toupo, Steven H. Strogatz
We analyze the replicator-mutator equations for the Rock-Paper-Scissors game. Various graph-theoretic patterns of mutation are considered, ranging from a single unidirectional muta…
Limit Cycles Sparked by Mutation in the Repeated Prisoner's Dilemma
Danielle F. P. Toupo, David G. Rand, Steven H. Strogatz
We explore a replicator-mutator model of the repeated Prisoner's Dilemma involving three strategies: always cooperate (ALLC), always defect (ALLD), and tit-for-tat (TFT). The dynam…