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Predictability horizon properties of chaotic dynamical systems can be relatedto their spectral properties. It is shown, using this relationship, that thespectral properties of the leading large-scale climate daily indices indicate asmooth predictability: i.e. their intrinsic predictability horizons can beindefinitely extended by reducing the initial error. Special properties of theMadden-Julian Oscillation and some models (including ensemble weatherforecasting) have been also discussed in this context.

Predictability problem in dynamical systems and in chaotic climate dynamics