Grupo de Meteorología de Santander

Un enfoque multidisciplinar para la meteorología y el clima

In a dynamical system the singular vector
SV indicates which perturbation will exhibit maximal growth after a time interval
. 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
− for the localization of the SV. Moreover the same exponent  characterizes the finite-
deviation of the Lyapunov exponent in excellent agreement with simulations. Our results may help improve existing forecasting techniques.