2026-09-19T11:58:36Zhttps://ecommons.cornell.edu/server/oai/requestoai:ecommons.cornell.edu:1813/569192026-05-15T19:47:43Zcom_1813_35col_1813_47
O'Keeffe, Kevin Philip
Strogatz, Steven H.
Rand, Richard Herbert
Myers, Christopher R.
2018-04-26T14:17:26Z
2018-04-26T14:17:26Z
2017-08-30
ProQuest Submission ID: 10404
ProQuest Publication ID: 10607572
https://hdl.handle.net/1813/56919
https://doi.org/10.7298/X4QR4V8T
10361596
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.
en_US
Attribution 4.0 International
https://creativecommons.org/licenses/by/4.0/
Sychronization
Applied mathematics
Collective phenomena
Complex systems
Two problems about coupled oscillators: transient dynamics and swarming
dissertation or thesis
application/pdf
Applied Mathematics
Cornell University
Doctor of Philosophy
Ph. D., Applied Mathematics
https://hdl.handle.net/1813/59810
Publication
Cornell Theses and Dissertations
O'Keeffe, Kevin Philip
5893a6ea-7af3-41d7-abc6-04bcd26ab5df
open.access
open.access
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<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>
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