Exponential localization of singular vectors in spatiotemporal chaos

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dc.creatorPazó, Diego
dc.creatorLópez, Juan M.
dc.creatorRodríguez, Miguel A.
dc.date2009-03-12
dc.date.accessioned2026-07-07T12:51:56Z
dc.date.available2026-07-07T12:51:56Z
dc.descriptionIn a dynamical system the singular vector (SV) indicates which perturbation will exhibit maximal growth after a time interval $τ$. We show that in systems with spatiotemporal chaos the SV exponentially localizes in space. Under a suitable transformation, the SV can be described in terms of the Kardar-Parisi-Zhang equation with periodic noise. A scaling argument allows us to deduce a universal power law $τ^{-γ}$ for the localization of the SV. Moreover the same exponent $γ$ characterizes the finite-$τ$ deviation of the Lyapunov exponent in excellent agreement with simulations. Our results may help improving existing forecasting techniques.
dc.description5 pages
dc.identifierhttps://arxiv.org/abs/0903.2236
dc.identifierhttp://arxiv.org/abs/0903.2236
dc.identifierPhys. Rev. E 79, 036202 (2009)
dc.identifierdoi:10.1103/PhysRevE.79.036202
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/223149
dc.subjectChaotic Dynamics
dc.subjectStatistical Mechanics
dc.titleExponential localization of singular vectors in spatiotemporal chaos
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