9 citations · 13 across the 3 of their papers we have counts for
5 papers
Degree-of-freedom and optimization-dynamic effects on the observability of Kuramoto-Sivashinsky systems
Noah B. Frank, Joshua L. Pughe-Sanford, Samuel J. Grauer
Simulations of chaotic systems can only produce high-fidelity trajectories if the initial and boundary conditions are well specified. When these conditions are unknown but measurem…
Computing Chaotic Time-Averages from Few Periodic or Non-Periodic Orbits
Joshua L. Pughe-Sanford, Sam Quinn, Teodor Balabanski +1
For appropriately chosen weights, temporal averages in chaotic systems can be approximated as a weighted sum of averages over reference states, such as unstable periodic orbits. Un…
Observing a Dynamical Skeleton of Turbulence in Taylor-Couette Flow Experiments
Christopher J. Crowley, Joshua L. Pughe-Sanford, Wesley Toler +2
Recent work suggests unstable recurrent solutions of the equations governing fluid flow can play an important role in structuring the dynamics of turbulence. Here we present a meth…
Exact coherent structures and shadowing in turbulent Taylor-Couette flow
Michael C. Krygier, Joshua L. Pughe-Sanford, Roman O. Grigoriev
We investigate a theoretical framework for modeling fluid turbulence based on the formalism of exact coherent structures (ECSs). Although highly promising, existing evidence for th…
Renormalization of Discrete-Time Quantum Walks with non-Grover Coins
Stefan Boettcher, Joshua L. Pughe-Sanford
We present an in-depth analytic study of discrete-time quantum walks driven by a non-reflective coin. Specifically, we compare the properties of the widely-used Grover coin ${\cal…