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Characteristic Lyapunov vectors in chaotic time-delayed systems

AuthorsPazó, Diego CSIC ORCID ; López, Juan M. CSIC ORCID
Issue Date2010
PublisherAmerican Physical Society
CitationPhysical Review E 82(5): 056201 (2010)
AbstractWe 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.
Description7 páginas, 4 figuras.-- PACS number(s): 05.45.Jn, 02.30.Ks, 05.40.-a
Publisher version (URL)http://dx.doi.org/10.1103/PhysRevE.82.056201
Appears in Collections:(IFCA) Artículos
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