3 papers
math.DS2023
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…
math.OC2023
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…
physics.comp-ph2019
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…