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Update README.md
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Kevin Daley authored Jun 29, 2021
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Expand Up @@ -24,4 +24,4 @@ the contributions towards it from three distinct components. We
perform simulations on three different simple mathematical models,
each designed to illustrate different effects, including one with a
strong propensity for synchronisation. Our results also point to the subtlety of the problem that the precise degree of instability and triggering number of pedestrians can depend on pedestrian gait and balance strategies. Yet we argue that negative damping on average can be always be regarded as the trigger. More broadly, we have uncovered an alternative mechanism for
emergence of coherent oscillatory behaviour in natural systems where, unlike the Kuramoto theory, large scale instability is not caused by coherence between individual oscillators. Counterintuitively, collective contributions from incoherent agents need not cancel each other out. Rather, each agent \btext{can provide} positive feedback on average, leading to global limit-cycle motion.
emergence of coherent oscillatory behaviour in natural systems where, unlike the Kuramoto theory, large scale instability is not caused by coherence between individual oscillators. Counterintuitively, collective contributions from incoherent agents need not cancel each other out. Rather, each agent can provide positive feedback on average, leading to global limit-cycle motion.

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