Onset of chaos in orbital pilot-wave dynamics

ORAL

Abstract

We examine the orbital dynamics of droplets self-propelling along the surface of a vibrating bath. Circular orbital motion may arise when the walking droplet is subjected to one of three external~ force fields, the Coriolis force, a simple harmonic force, and a Coulomb force. Particular attention~ is given to a theoretical characterization of the onset of chaos that accompanies the destabilization~ of such circular orbits.

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Authors

  • Lucas Tambasco

    • MIT

  • Daniel Harris

    • UNC
    • UNC, Chapel Hill

  • Anand Oza

    • Courant Institute - NYU
    • Courant Institute, NYU
    • New York University, Courant Institute
    • Courant Institute

  • Rodolfo Rosales

    • MIT

  • John Bush

    • MIT
    • MIT, Department of Mathematics