The onset of chaos in orbital pilot-wave dynamics
Author(s)Harris, Daniel M.; Oza, Anand U.; Tambasco, Lucas; Rosales, Rodolfo; Bush, John W. M.
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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.
DepartmentMassachusetts Institute of Technology. Department of Mathematics
Chaos: An Interdisciplinary Journal of Nonlinear Science
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)
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