Chaotic Bouncing of a Droplet on a Soap Film
Name
Gilet-2009-Chaotic Bouncing of.pdf
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685.15 KB
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Author(s)
Bush, John W. M.
Date Issued
January 2009
Journal
Physical Review Letters
Publisher
American Physical Society
Citation
Gilet, T. , and John W. M. Bush. “Chaotic Bouncing of a Droplet on a Soap Film.” Physical Review Letters 102.1 (2009): 014501. © 2009 The American Physical Society.
Version
Final published version
Abstract
We examine the complex dynamics arising when a water droplet bounces on a horizontal soap film suspended on a vertically oscillating circular frame. A variety of simple and complex periodic bouncing states are observed, in addition to multiperiodicity and period-doubling transitions to chaos. The system is simply and accurately modeled by a single ordinary differential equation, the numerical solution of which captures all the essential features of the observed behavior. Iterative maps and bifurcation diagrams indicate that the system exhibits all the features of a classic low-dimensional chaotic oscillator.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
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Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
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DOI of Published Version
http://dx.doi.org/10.1103/PhysRevLett.102.014501
