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Dynamical Regimes and Time Scales

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Predictability of Chaotic Dynamics

Part of the book series: Springer Series in Synergetics ((SSSYN))

Abstract

The key factor to build the finite-time distributions is finding the most adequate interval length, to be large enough to ensure a satisfactory reduction of the local fluctuations, but small enough to reveal slow trends. This length is different for every orbit. There are different time scales to take into account in every model, including transient behaviours that could be of interest. By a proper selection of the total integration time, we can characterise the dynamics using small finite-time interval lengths. But increasing those lengths, we see how the distributions stop tracing the flow at local scales and begin to describe the flow at global scales, that is, the global regime.

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Authors and Affiliations

  1. Department of Physics, Universidad Rey Juan Carlos, Móstoles, Madrid, Spain

    Juan C. Vallejo & Miguel A. F. Sanjuan

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  1. Juan C. Vallejo
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  2. Miguel A. F. Sanjuan
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Vallejo, J.C., Sanjuan, M.A.F. (2017). Dynamical Regimes and Time Scales. In: Predictability of Chaotic Dynamics . Springer Series in Synergetics. Springer, Cham. https://doi.org/10.1007/978-3-319-51893-0_3

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