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Structure of characteristic Lyapunov vectors in spatiotemporal chaos

AuthorsPazó, Diego ; Szendro, Ivan Georg; López, Juan M. ; Rodríguez, Miguel A.
Lyapunov methods
Spatiotemporal phenomena
Issue Date17-Jul-2008
PublisherAmerican Physical Society
CitationPhysical Review E 78(1): 016209 (2008)
AbstractWe study Lyapunov vectors (LVs) corresponding to the largest Lyapunov exponents in systems with spatiotemporal chaos. We focus on characteristic LVs and compare the results with backward LVs obtained via successive Gram-Schmidt orthonormalizations. Systems of a very different nature such as coupled-map lattices and the (continuous-time) Lorenz `96 model exhibit the same features in quantitative and qualitative terms. Additionally, we propose a minimal stochastic model that reproduces the results for chaotic systems. Our work supports the claims about universality of our earlier results [I. G. Szendro et al., Phys. Rev. E 76, 025202(R) (2007)] for a specific coupled-map lattice.
Description9 pages, 4 figures.-- PACS nrs.: 05.45.Jn; 05.40.-a; 05.45.Ra.
Publisher version (URL)http://dx.doi.org/10.1103/PhysRevE.78.016209
Appears in Collections:(IFCA) Artículos
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