Spatiotemporal structure of Lyapunov vectors in chaotic coupled-map lattices

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dc.creatorSzendro, Ivan G.
dc.creatorPazó, Diego
dc.creatorRodríguez, Miguel A.
dc.creatorLópez, Juan M.
dc.date2007-06-12
dc.date2007-09-20
dc.date.accessioned2026-07-07T08:30:43Z
dc.date.available2026-07-07T08:30:43Z
dc.descriptionThe spatiotemporal dynamics of Lyapunov vectors (LVs) in spatially extended chaotic systems is studied 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.
dc.identifierhttps://arxiv.org/abs/0706.1706
dc.identifierhttp://arxiv.org/abs/0706.1706
dc.identifierPhys. Rev. E 76, 025202 (2007)
dc.identifierdoi:10.1103/PhysRevE.76.025202
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/138306
dc.subjectChaotic Dynamics
dc.subjectStatistical Mechanics
dc.titleSpatiotemporal structure of Lyapunov vectors in chaotic coupled-map lattices
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