2010/11/02 by Diego Pazó, J.M. López, Juan M. López
Computer Science · Physics and Astronomy · #Chaos control and synchronization #Nonlinear Dynamics and Pattern Formation #Quantum chaos and dynamical systems #nlin.CD
paper · pdf · doi:10.1103/physreve.82.056201
published as Phys. Rev. E 82, 056201 (2010) · 7 pages
openalex publication_date 2010/11/02 · arxiv created 2011/01/14 · arxiv updated 2011/01/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.