21 citations · 110 across the 20 of their papers we have counts for
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Multi-bounce resonances in the interaction of walking droplets
George Zhang, Ivan C. Christov, Aminur Rahman
Discrete dynamical models of walking droplets ("walkers") have allowed swift numerical experiments revealing heretofore unobserved quantum statistics and related behaviors in a cla…
The One-dimensional Version of Peixoto's Structural Stability Theorem: A Calculus-based Proof
Aminur Rahman, Denis Blackmore
Peixoto's structural stability and density theorems represent milestones in the modern theory of dynamical systems and their applications. Despite the importance of these theorems,…
Stochastic discrete dynamical model for the hydrodynamic analog of a quantum mirage
Gonzalo Ferrandez Quinto, Aminur Rahman
Recently discrete dynamical models of walking droplet dynamics have allowed for fast numerical simulations of their horizontal chaotic motion and consequently the long-time statist…
Deep Learning Based Object Tracking in Walking Droplet and Granular Intruder Experiments
Erdi Kara, George Zhang, Joseph J. Williams +5
We present a deep-learning based tracking objects of interest in walking droplet and granular intruder experiments. In a typical walking droplet experiment, a liquid droplet, known…
Damped-driven system of bouncing droplets leading to deterministic diffusive behavior
Aminur Rahman
Damped-driven systems are ubiquitous in science, however the damping and driving mechanisms are often quite convoluted. This manuscript presents an experimental and theoretical inv…