title: Characteristic Lyapunov vectors in chaotic time-delayed systems.
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.
authors.affiliation: Instituto de Física de Cantabria (IFCA), CSIC-Universidad de Cantabria, E-39005 Santander, Spain.
authors.forename: Diego
authors.initials: D
authors.lastname: Pazó
authors.forename: Juan M
authors.initials: JM
authors.lastname: López
mesh_terms: D016014:Linear Models; D017711:Nonlinear Dynamics; D013997:Time Factors