Chaotic Bouncing of a Droplet on a Soap Film
Author(s)Bush, John W. M.
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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.
DepartmentMassachusetts Institute of Technology. Department of Mathematics
Physical Review Letters
American Physical Society
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.
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