2026-09-21T02:37:58Zhttps://dspace.mit.edu/server/oai/requestoai:dspace.mit.edu:1721.1/1310132021-07-05T14:03:20Zcom_1721.1_7582com_1721.1_7581col_1721.1_131024
Matthew Durey
Kurzban, Benjamin(Benjamin A.)
Massachusetts Institute of Technology. Department of Mechanical Engineering.
Massachusetts Institute of Technology. Department of Mechanical Engineering
2021-06-17T17:21:29Z
2021-06-17T17:21:29Z
2020
2020
https://hdl.handle.net/1721.1/131013
1256659931
Thesis: S.B., Massachusetts Institute of Technology, Department of Mechanical Engineering, September, May, 2020
Cataloged from the official PDF of thesis.
Includes bibliographical references (page 8).
Recent studies have shown that a vibrating fluid bath can support a bouncing droplet, generating a pilot wave which propels the droplet into horizontal motion. Walking droplets have been demonstrated not only to follow linear trajectories, but to exhibit a range of rich dynamical behavior, including tunneling, diffraction, and orbital quantization. Current theoretical models for the walking droplet system can be difficult to analyze. Here, by reducing the dimension of the bath, a simpler model has been derived and analyzed. We summarize this derivation, explore the stability of the system's dynamical states, and provide evidence of a previously unreported homoclinic bifurcation.
by Benjamin Kurzban.
S.B.
S.B. Massachusetts Institute of Technology, Department of Mechanical Engineering
8 pages
eng
Massachusetts Institute of Technology
MIT theses may be protected by copyright. Please reuse MIT thesis content according to the MIT Libraries Permissions Policy, which is available through the URL provided.
http://dspace.mit.edu/handle/1721.1/7582
Mechanical Engineering.
Analytical and numerical study of the unstable limit cycles of walking droplets
Thesis
application/pdf
2021-06-17T17:21:29Z
Publication
Bachelor
MechE
unknown
unknown
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<Abstract>Recent studies have shown that a vibrating fluid bath can support a bouncing droplet, generating a pilot wave which propels the droplet into horizontal motion. Walking droplets have been demonstrated not only to follow linear trajectories, but to exhibit a range of rich dynamical behavior, including tunneling, diffraction, and orbital quantization. Current theoretical models for the walking droplet system can be difficult to analyze. Here, by reducing the dimension of the bath, a simpler model has been derived and analyzed. We summarize this derivation, explore the stability of the system's dynamical states, and provide evidence of a previously unreported homoclinic bifurcation.</Abstract>
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