The onset of chaos in orbital pilot-wave dynamics
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Tambasco-2016.pdf
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Author(s)
Harris, Daniel M.
Oza, Anand U.
Tambasco, Lucas
Rosales, Rodolfo
Bush, John W. M.
Date Issued
August 2016
Journal
Chaos: An Interdisciplinary Journal of Nonlinear Science
Publisher
AIP Publishing
Citation
Tambasco, Lucas D. et al. “The Onset of Chaos in Orbital Pilot-Wave Dynamics.” Chaos: An Interdisciplinary Journal of Nonlinear Science 26, 10 (October 2016): 103107 © 2016 Author(s)
Version
Final published version
Abstract
We present the results of a numerical investigation of the emergence of chaos in the orbital dynamics of droplets walking on a vertically vibrating fluid bath and acted upon by one of the three different external forces, specifically, Coriolis, Coulomb, or linear spring forces. As the vibrational forcing of the bath is increased progressively, circular orbits destabilize into wobbling orbits and eventually chaotic trajectories. We demonstrate that the route to chaos depends on the form of the external force. When acted upon by Coriolis or Coulomb forces, the droplet's orbital motion becomes chaotic through a period-doubling cascade. In the presence of a central harmonic potential, the transition to chaos follows a path reminiscent of the Ruelle-Takens-Newhouse scenario.
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
https://doi.org/10.1063/1.4964350
