Characterization of a periodically driven chaotic dynamical system

A Crisanti; M. Falcioni; G. Lacorata; R. Purini; A. Vulpiani

doi:10.1088/0305-4470/30/2/005

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Characterization of a periodically driven chaotic dynamical system

A Crisanti·M. Falcioni·G. Lacorata·R. Purini·A. Vulpiani

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Abstract

We discuss how to characterize the behavior of a chaotic dynamical system depending on a parameter that varies periodically in time. In particular, we study the predictability time, the correlations and the mean responses, by defining a local--in--time version of these quantities. In systems where the time scale related to the time periodic variation of the parameter is much larger than the ``internal'' time scale, one has that the local quantities strongly depend on the phase of the cycle. In this case, the standard global quantities can give misleading information.

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A Crisanti, M. Falcioni, G. Lacorata, R. Purini, A. Vulpiani. 1996-05-28. Characterization of a periodically driven chaotic dynamical system. https://doi.org/10.1088/0305-4470%2F30%2F2%2F005

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