19 citations · 30 across the 4 of their papers we have counts for
4 papers
Lagrangian Reachabililty
Jacek Cyranka, Md. Ariful Islam, Greg Byrne +3
We introduce LRT, a new Lagrangian-based ReachTube computation algorithm that conservatively approximates the set of reachable states of a nonlinear dynamical system. LRT makes use…
Exact Coherent Structures and Chaotic Dynamics in a Model of Cardiac Tissue
Greg Byrne, Christopher D. Marcotte, Roman O. Grigoriev
Unstable nonchaotic solutions embedded in the chaotic attractor can provide significant new insight into chaotic dynamics of both low- and high-dimensional systems. In particular,…
Vortex Dynamics in Cerebral Aneurysms
Greg Byrne, Juan Cebral
We use an autonomous three-dimensional dynamical system to study embedded vortex structures that are observed to form in computational fluid dynamic simulations of patient-specific…
Connecting Curves in Higher Dimensions
Greg Byrne, Juan Cebral, Robert Gilmore
Connecting curves have been shown to organize the rotational structure of strange attractors in three-dimensional dynamical systems. We extend the description of connecting curves…