62 citations · 124 across the 7 of their papers we have counts for
7 papers
Stationarity and Redundancy of Multichannel EEG Data Recorded During Generalized Tonic-Clonic Seizures
Scott M. Zoldi, Andrew Krystal, Henry S. Greenside
A prerequisite for applying some signal analysis methods to electroencephalographic (EEG) data is that the data be statistically stationary. We have investigated the stationarity o…
Escape Time Weighting of Unstable Stationary Solutions of Spatiotemporal Chaos
Scott M. Zoldi
By computing 254 unstable stationary solutions of the Kuramoto-Sivashinsky equation in the extensive chaos regime (Lyapunov fractal dimension D=8.8), we find that 30% satisfy the s…
Extensive Scaling and Nonuniformity of the Karhunen-Loève Decomposition for the Spiral-Defect Chaos State
Scott M. Zoldi, Jun Liu, Kapil M. S. Bajaj +2
By analyzing large-aspect-ratio spiral-defect-chaos (SDC) convection images, we show that the Karhunen-Loève decomposition (KLD) scales extensively for subsystem-sizes larger than…
Unstable Periodic Orbit Analysis of Histograms of Chaotic Time Series
Scott M. Zoldi
Using the Lorenz equations, we have investigated whether unstable periodic orbits (UPOs) associated with a strange attractor may predict the occurrence of the robust sharp peaks in…
Comment on "Optimal Periodic Orbits of Chaotic Systems"
Scott M. Zoldi, Henry S. Greenside
In a recent Letter, Hunt and Ott argued that SHORT-period unstable periodic orbits (UPOs) would be the invariant sets associated with a chaotic attractor that are most likely to op…
Spatially Localized Unstable Periodic Orbits
Scott M. Zoldi, Henry S. Greenside
Using an innovative damped-Newton method, we report the first calculation of many distinct unstable periodic orbits (UPOs) of a large high-dimensional extensively chaotic partial d…
Karhunen-Lo`eve Decomposition of Extensive Chaos
Scott M. Zoldi, Henry S. Greenside
We show that the number of KLD (Karhunen-Lo`eve decomposition) modes D_KLD(f) needed to capture a fraction f of the total variance of an extensively chaotic state scales extensivel…