Zoom link: https://stockholmuniversity.zoom.us/j/622224375
Abstract: We investigate the dynamics of a one-dimensional memory-driven bouncing droplet confined by a symmetric single-well potential in the high-memory regime, where the dependence of the droplet's current position on its entire past trajectory typically leads to chaotic and unpredictable motion. Employing the one-dimensional stroboscopic model, we demonstrate that when the confining potential is sufficiently steep, the droplet’s dynamics transition from chaotic and memory-driven to fully predictable and effectively Markovian. In this limit, the system can be described by a nonautonomous ordinary differential equation, significantly reducing its complexity. These results underscore how external constraints can suppress the chaotic effects of temporal memory, providing new insights into the emergence of Markovian and predictable behavior in systems inherently governed by history-dependent dynamics.