4 citations · 5 across the 4 of their papers we have counts for
4 papers
Analyzing Topological Mixing and Chaos on Continua with Symbolic Dynamics
Arnaldo Rodriguez-Gonzalez
This work describes the way that topological mixing and chaos in continua, as induced by discrete dynamical systems, can or can't be understood through topological conjugacy with s…
Learning the Delay Using Neural Delay Differential Equations
Maria Oprea, Mark Walth, Robert Stephany +3
The intersection of machine learning and dynamical systems has generated considerable interest recently. Neural Ordinary Differential Equations (NODEs) represent a rich overlap bet…
Surprises in a classic boundary-layer problem
William A. Clark, Mario W. Gomes, Arnaldo Rodriguez-Gonzalez +2
We revisit a textbook example of a singularly perturbed nonlinear boundary-value problem. Unexpectedly, it shows a wealth of phenomena that seem to have been overlooked previously,…
Rational Design Protocols for Size-Based Particle Sorting Microdevices Using Symmetry-Induced Cyclical Dynamics
Arnaldo Rodriguez-Gonzalez, Jason P. Gleghorn, Brian J. Kirby
In this paper, we describe the unification and extension of multiple kinematic theories on the advection of colloidal particles through periodic obstacle lattices of arbitrary geom…