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Title

Structure of characteristic Lyapunov vectors in spatiotemporal chaos

AuthorsPazó, Diego ; Szendro, Ivan Georg; López, Juan M. ; Rodríguez, Miguel A.
KeywordsChaos
Lyapunov methods
Spatiotemporal phenomena
Vectors
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
URIhttp://hdl.handle.net/10261/11519
DOIhttp://dx.doi.org/10.1103/PhysRevE.78.016209
ISSN1539-3755
Appears in Collections:(IFCA) Artículos
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