@article{10902/28562,
year = {2010},
month = {11},
url = {https://hdl.handle.net/10902/28562},
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.},
organization = {D.P. acknowledges support by CSIC under the Junta de Ampliación de Estudios Programme (JAE-Doc). Financial
support from the Ministerio de Ciencia e Innovación (Spain) under Project No. FIS2009-12964-C05-05 is acknowledged.},
publisher = {American Physical Society},
publisher = {Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 2010, 82(5), 056201},
title = {Characteristic Lyapunov vectors in chaotic time-delayed systems},
author = {Pazó Bueno, Diego Santiago and López Martín, Juan Manuel},
}