17 citations · 36 across the 4 of their papers we have counts for
7 papers
Walking Droplets Through the Lens of Dynamical Systems
Aminur Rahman, Denis Blackmore
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 fi…
Tumor ablation due to inhomogeneous -- anisotropic diffusion in generic 3-dimensional topologies
Erdi Kara, Aminur Rahman, Eugenio Aulisa +1
We derive a full 3-dimensional (3-D) model of inhomogeneous -- anisotropic diffusion in a tumor region coupled to a binary population model. The diffusion tensors are acquired usin…
Generalized Attracting Horseshoe in the Rössler Attractor
Karthik Murthy, Parth Sojitra, Aminur Rahman +2
We show that there is a mildly nonlinear three-dimensional system of ordinary differential equations - realizable by a rather simple electronic circuit - capable of producing a gen…
Modeling of drug diffusion in a solid tumor leading to tumor cell death
Aminur Rahman, Souparno Ghosh, Ranadip Pal
It has been shown recently that changing the fluidic properties of a drug can improve its efficacy in ablating solid tumors. We develop a modeling framework for tumor ablation, and…
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…
Exotic Bifurcations Inspired by Walking Droplet Dynamics
Aminur Rahman, Denis Blackmore
We identify two rather novel types of (compound) dynamical bifurcations generated primarily by interactions of an invariant attracting submanifold with stable and unstable manifold…