Two problems about coupled oscillators: transient dynamics and swarming

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.

Name thesis:degree_name

Ph. D., Applied Mathematics

Level thesis:degree_level

Doctor of Philosophy

Discipline thesis:degree_discipline

Applied Mathematics

Grantor

Cornell University

Year dc:date.issued

2017

Author dc:creator

• O'Keeffe, Kevin Philip

Committee members dc:contributor.committeemember

• Rand, Richard Herbert
• Myers, Christopher R.

• Sychronization
• Applied mathematics
• Collective phenomena
• Complex systems

Statement dc:rights

• Attribution 4.0 International

Licence dc:rights.uri

• https://creativecommons.org/licenses/by/4.0/

Language dc:language.iso

en_US

DOI

https://doi.org/10.7298/X4QR4V8T

Dc Identifier Other

ProQuest Submission ID: 10404
ProQuest Publication ID: 10607572

OAI identifier oai:identifier

oai:ecommons.cornell.edu:1813/56919