Characteristic Lyapunov vectors in chaotic time-delayed systems
Chaotic Dynamics
2011-01-17 v1
Abstract
We compute Lyapunov vectors (LVs) corresponding to the largest Lyapunov exponents in delay-differential equations with large time delay. We find that characteristic LVs, and backward (Gram-Schmidt) LVs, exhibit long-range correlations, identical to those already observed in dissipative extended systems. In addition we give numerical and theoretical support to the hypothesis that the main LV belongs, under a suitable transformation, to the universality class of the Kardar-Parisi-Zhang equation. These facts indicate that in the large delay limit (an important class of) delayed equations behave exactly as dissipative systems with spatiotemporal chaos.
Cite
@article{arxiv.1101.2779,
title = {Characteristic Lyapunov vectors in chaotic time-delayed systems},
author = {Diego Pazó and Juan M. López},
journal= {arXiv preprint arXiv:1101.2779},
year = {2011}
}
Comments
7 pages