119 citations · 469 across the 15 of their papers we have counts for
4 papers · 1 filter
Failure of linear control in noisy coupled map lattices
David A. Egolf, Joshua E. S. Socolar
We study a 1D ring of diffusively coupled logistic maps in the vicinity of an unstable, spatially homogeneous fixed point. The failure of linear controllers due to additive noise i…
The Dynamical Dimension of Defects in Spatiotemporal Chaos
David A. Egolf
Using a new time-dependent measure, we demonstrate for the first time that each defect in a representative defect-mediated spatiotemporally chaotic system is associated with one to…
Spatial Variation of Correlation Times for 1D Phase Turbulence
David A. Egolf, Henry S. Greenside
For one-dimensional phase-turbulent solutions of the Kuramoto-Sivashinsky equation with rigid boundary conditions, we show that there is a substantial variation of the correlation…
Dependence of extensive chaos on the spatial correlation length (substantial revision)
David A. Egolf, Henry S. Greenside
We consider spatiotemporal chaotic systems for which spatial correlation functions decay substantially over a length scale xi (the spatial correlation length) that is small compare…