Figure 3: Four of the experimentally observed long memory stable orbits.
From: Self-organization into quantized eigenstates of a classical wave-driven particle
Simple trajectories can be observed in narrow ranges of values of the tuning parameter Λ. They are shown in their most stable form (for M≈50) and in situations where they are slightly unstable (for M≈100). The scales are in units of the Faraday wavelength λF=4.75 mm. (a,b) The smallest circular orbit (n=1, m=±1). (c,d) The oval orbit (n=2, m=±2) well fitted by a Cassini oval. (e,f) The small lemniscates (n=2, m=0). (g,h) The trefoil (n=4, m=±2). In b,d,f,h the trajectories are shown in grey for a long time interval and a part of it has been singled out in red. The scales are in units of λF. See Supplementary Movies 1–3 associated with trajectories of a,d,f, respectively.
