Fig. 4 Response of a swarm model.

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Fig. 4 Response of a swarm model. Response of a swarm model. (A) Phase-averaged mean position of laterally averaged slabs of the swarm model XS(z,t) at different vertical distances z from the swarm center, where the oscillating perturbation is applied along x. As z increases, the amplitude of the swarm motion decreases. Black solid lines are sinusoidal fits. The amplitude of the oscillation of the center of attraction is 2, and the frequency of oscillation is 0.65 rad s−1. (B) The amplitude AS(z) of XS(z,t) as a function of z. The shaded area shows the 95% confidence interval. The red line is an exponential fit. The vertical axis is logarithmic. (C) The phase lag ϕ (in units of π) between the oscillation of the swarm center and XS(z,t) as a function of z. The shaded area shows the 95% confidence interval, and the red line is a linear fit. Results are shown for the case where all model parameters (σr, σu, and T) are set to unity in arbitrary units. Kasper van der Vaart et al. Sci Adv 2019;5:eaaw9305 Copyright © 2019 The Authors, some rights reserved; exclusive licensee American Association for the Advancement of Science. No claim to original U.S. Government Works. Distributed under a Creative Commons Attribution NonCommercial License 4.0 (CC BY-NC).