Predictability through finite time Lyapunov exponents in two coupled systems.

Miguel A. F. Sanjuan

We analyse the predictability information of two coupled Rossler systems through the study of finite time Lyapunov exponents distributions. Using these techniques one can derive the system shadowing properties, thus for characterising the possible nonhyperbolic nature of the system and the goodnes of the computed orbit against the real one. Our work focuses in how
these results may depend on the considered finite time
intervals. By using arbitrarily selected initial deviation
directions, we aim to correlate the selection of the
intervals with the flow physical timescales.

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