The identification of critical fluctuations and phase transitions in short term and coarse-grained time series. A method for the real-time monitoring of human change processes [Epub: DOI 10.1007/s00422-009-0362-1]

Günter Schiepek, Guido Strunk

    Publikation: Wissenschaftliche FachzeitschriftOriginalbeitrag in FachzeitschriftBegutachtung

    Abstract

    Abstract: We introduce two complementary measures for the identification of critical instabilities and fluctuations in natural time series: the degree of fluctuations F and the distribution parameter D. Both are valid measures even of short and coarse-grained data sets, as demonstrated by artificial
    data from the logistic map (Feigenbaum-Scenario). A comparison is made with the application of the positive Lyapunov exponent to time series and another recently developed complexity measure-the Permutation Entropy. The results justify the application of the measures within computer-based real-time monitoring systems of human change processes. Results from process-outcome research in psychotherapy and functional neuroimaging of psychotherapy processes are provided
    as examples for the practical and scientific applications of the proposed measures.
    OriginalspracheEnglisch
    Seiten (von - bis)197 - 207
    FachzeitschriftBiological Cybernetics
    Jahrgang102
    Ausgabenummer3
    PublikationsstatusVeröffentlicht - 1 März 2010

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