Publications (5)
The dynamics of an externally driven nanoscale beam that is under high tension and immersed in a viscous fluid
Johnathon Barbish, Chaoyang Ti, Kamil Ekinci +1
We explore the dynamics of a nanoscale doubly-clamped beam that is under high tension, immersed in a viscous fluid, and driven externally by a spatially varying drive force. We dev…
Connecting Lyapunov Vectors with the Pattern Dynamics of Chaotic Rayleigh-Bénard Convection
Rachel Levanger, Mu Xu, Jacek Cyranka +3
We explore the chaotic dynamics of Rayleigh-Bénard convection using large-scale, parallel numerical simulations for experimentally accessible conditions. We quantify the connectio…
Exploring Spiral Defect Chaos in Generalized Swift-Hohenberg Models with Mean Flow
Alireza Karimi, Zhi-Feng Huang, Mark Paul
We explore the phenomenon of spiral defect chaos in two types of generalized Swift-Hohenberg model equations that include the effects of long-range drift velocity or mean flow. We…
Using Covariant Lyapunov Vectors to Quantify High Dimensional Chaos with a Conservation Law
Johnathon Barbish, Mark Paul
We explore the high dimensional chaos of a one-dimensional lattice of diffusively coupled tent maps using the covariant Lyapunov vectors (CLVs). We investigate the connection betwe…
Analysis of Kolmogorov Flow and Rayleigh-Bénard Convection using Persistent Homology
Miroslav Kramar, Rachel Levanger, Jeffrey Tithof +5
We use persistent homology to build a quantitative understanding of large complex systems that are driven far-from-equilibrium; in particular, we analyze image time series of flow…