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pro vyhledávání: '"Rahman, Aminur"'
Autor:
Rahman, Aminur
Experiments violating Bell's inequality appear to indicate deterministic models do not correspond to a realistic theory of quantum mechanics. The theory of pilot waves seemingly overcomes this hurdle via nonlocality and statistical dependence, howeve
Externí odkaz:
http://arxiv.org/abs/2405.00707
Publikováno v:
Mechanics Research Communications 134 (2023) 104215
Discrete dynamical models of walking droplets ("walkers") have allowed swift numerical experiments revealing heretofore unobserved quantum statistics and related behaviors in a classical hydrodynamic system. We present evidence that one such model of
Externí odkaz:
http://arxiv.org/abs/2304.06001
Autor:
Rahman, Aminur, Blackmore, Denis
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, they are often treated rather superficially, if at all, in upper leve
Externí odkaz:
http://arxiv.org/abs/2302.04941
Recently discrete dynamical models of walking droplet dynamics have allowed for fast numerical simulations of their horizontal chaotic motion and consequently the long-time statistical distribution of the droplet position. We develop a discrete model
Externí odkaz:
http://arxiv.org/abs/2302.00829
Autor:
Kara, Erdi, Zhang, George, Williams, Joseph J., Ferrandez-Quinto, Gonzalo, Rhoden, Leviticus J., Kim, Maximilian, Kutz, J. Nathan, Rahman, Aminur
Publikováno v:
Journal of Real-Time Image Processing, Vol. 20, Art. No. 86, 2023
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 as \textit{walker}, propels itself laterally on the free surface of a
Externí odkaz:
http://arxiv.org/abs/2302.05425
Autor:
Rahman, Aminur
Damped-driven systems are ubiquitous in science, however the damping and driving mechanisms are often quite convoluted. This manuscript presents an experimental and theoretical investigation of a fluidic droplet on a vertically vibrating fluid bath a
Externí odkaz:
http://arxiv.org/abs/2301.06041
Damped-driven systems are ubiquitous in engineering and science. Despite the diversity of physical processes observed in a broad range of applications, the underlying instabilities observed in practice have a universal characterization which is deter
Externí odkaz:
http://arxiv.org/abs/2211.11748
The surprisingly mercurial Covid-19 pandemic has highlighted the need to not only accelerate research on infectious disease, but to also study them using novel techniques and perspectives. A major contributor to the difficulty of containing the curre
Externí odkaz:
http://arxiv.org/abs/2207.09671
Autor:
Rahman, Aminur, Kutz, J. Nathan
We consider the dynamics of a droplet on a vibrating fluid bath. This hydrodynamic quantum analog system is shown to elicit the canonical behavior of damped-driven systems, including a period doubling route to chaos. By approximating the system as a
Externí odkaz:
http://arxiv.org/abs/2203.14705
Autor:
Rahman, Aminur, Blackmore, Denis
Publikováno v:
Mod. Phys. Lett. B (2020)
Over the past decade the study of fluidic droplets bouncing and skipping (or ``walking'') on a vibrating fluid bath has gone from an interesting experiment to a vibrant research field. The field exhibits challenging fluids problems, potential connect
Externí odkaz:
http://arxiv.org/abs/2011.08796