21 citations · 135 across the 22 of their papers we have counts for
24 papers
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,…
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…
"Solutocapillary Marangoni flow induced in waterbody by solute source"
I. Benouaguef, N. Musunuri, E. Amah +3
The aim of this paper is to experimentally and analytically study the solutocapillary flow induced in a waterbody due to the presence of a solute source on its surface and the mixi…
Dispersionless Multi-Dimensional Integrable Systems and Related Conformal Structure Generating Equations of Mathematical Physics
Oksana Ye. Hentosh, Yarema A. Prykarpatsky, Denis Blackmore +1
Using diffeomorphism group vector fields on -multiplied tori and the related Lie-algebraic structures, we study multi-dimensional dispersionless integrable systems that…
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…
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…