Unsteady dynamics of a classical particle-wave entity

A droplet bouncing on the surface of a vertically vibrating liquid bath can walk horizontally, guided by waves it generates each impact. This results in self-propelled classical particle-wave entity. By using one-dimensional theoretical pilot-wave model with generalized wave form, we investigate dynamics this We employ different spatial forms to understand role played both oscillations and decay walking dynamics. observe steady motion as well unsteady motions such oscillating walking, self-trapped oscillations, irregular walking. explore dynamical statistical aspects show an equivalence between Lorenz system, making connections Langevin equation deterministic diffusion.