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Two problems about coupled oscillators: transient dynamics and swarming

Author
O'Keeffe, Kevin Philip
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.
Date Issued
2017-08-30Subject
Sychronization; Applied mathematics; Collective phenomena; Complex systems
Committee Chair
Strogatz, Steven H.
Committee Member
Rand, Richard Herbert; Myers, Christopher R.
Degree Discipline
Applied Mathematics
Degree Name
Ph. D., Applied Mathematics
Degree Level
Doctor of Philosophy
Rights
Attribution 4.0 International
Rights URI
Type
dissertation or thesis
Except where otherwise noted, this item's license is described as Attribution 4.0 International