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…
Standard map-like models for single and multiple walkers in an annular cavity
Aminur Rahman
Recent experiments on walking droplets in an annular cavity showed the existence of complex dynamics including chaotically changing velocity. This article presents models, influenc…
Qualitative models and experimental investigation of chaotic NOR gates and set/reset flip-flops
Aminur Rahman, Ian Jordan, Denis Blackmore
It has been observed through experiments and SPICE simulations that logical circuits based upon Chua's circuit exhibit complex dynamical behavior. This behavior can be used to desi…
Neimark--Sacker bifurcation and evidence of chaos in a discrete dynamical model of walkers
Aminur Rahman, Denis Blackmore
Bouncing droplets on a vibrating fluid bath can exhibit wave-particle behavior, such as being propelled by interacting with its own wave field. These droplets seem to walk across t…
RS Flip-Flop Circuit Dynamics Revisited
Aminur Rahman, Denis Blackmore
Logical RS flip-flop circuits are investigated once again in the context of discrete planar dynamical systems, but this time starting with simple bilinear (minimal) component model…
A Mechanical Analog of the Two-bounce Resonance of Solitary Waves: Modeling and Experiment
Roy H. Goodman, Aminur Rahman, Michael Bellanich +1
We describe a simple mechanical system, a ball rolling along a specially-designed landscape, that mimics the dynamics of a well known phenomenon, the two-bounce resonance of solita…