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Spatiotemporal structure of Lyapunov vectors in chaotic coupled-map lattices

Journal: Physical Review E
Year: 2007   Volume: 76
Initial page: 25202  
Status: Published
In this status since: 30 Aug 2007
PDF file: 2007_Szendro_pre.pdf
DOI: 10.1103/PhysRevE.76.025202
Authors:
Szendro, I., Pazó, D., , López, J.M.

The spatiotemporal dynamics of Lyapunov vectors Ls in spatially extended chaotic systems is studied by
by means of coupled-map lattices. We determine intrinsic length scales and spatiotemporal correlations of LVs corresponding to the leading unstable directions by translating the problem to the language of scale-invariant growing surfaces. We find that the so-called characteristic LVs exhibit spatial localization, strong clustering around given spatiotemporal loci, and remarkable dynamic scaling properties of the corresponding surfaces. In contrast, the commonly used backward LVs obtained through Gram-Schmidt orthogonalization spread all over the system and do not exhibit dynamic scaling due to artifacts in the dynamical correlations by construction.