{"id":{"repo_id":"cornell","oai_identifier":"oai:ecommons.cornell.edu:1813/56919"},"canonical_url":"https://search.dev.ndltd.org/etd/cornell/oai:ecommons.cornell.edu:1813/56919","repository":{"repo_id":"cornell","name":"Cornell University","base_url":"https://ecommons.cornell.edu/server/oai/request"},"display":{"title":"Two problems about coupled oscillators: transient dynamics and swarming","abstract":"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.","abstract_html":"The conduct of coupled oscillators has long beguiled scientists. 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