Two problems about coupled oscillators: transient dynamics and swarming
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The conduct of coupled oscillators has long beguiled scientists. Here we study two models of such oscillators. The first is Peskin’s integrate-and-fire model. We focus on the transitory behavior, showing that in its infancy, synchrony looks much like aggregation. In the second model, we consider oscillators which ad- just their positions in space as well as their phases. We show the coaction of these two effects produces novel spatiotemporal patterns, which we study both analytically and numerically.
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2017-08-30
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Sychronization; Applied mathematics; Collective phenomena; Complex systems
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Strogatz, Steven H.
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Rand, Richard Herbert
Myers, Christopher R.
Myers, Christopher R.
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Applied Mathematics
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Ph. D., Applied Mathematics
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Doctor of Philosophy
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Government Document
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Attribution 4.0 International
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dissertation or thesis