TY  - JOUR
A1  - Marwan, Norbert
A1  - Wessel, Niels
A1  - Meyerfeldt, Udo
A1  - Schirdewan, Alexander
A1  - Kurths, Jürgen
T1  - Recurrence-plot-based measures of complexity and its application to heart-rate-variability data
N2  - The knowledge of transitions between regular, laminar or chaotic behavior is essential to understand the underlying mechanisms behind complex systems. While several linear approaches are often insufficient to describe such processes, there are several nonlinear methods which however require rather long time observations. To overcome these difficulties, we propose measures of complexity based on vertical structures in recurrence plots and apply them to the logistic map as well as to heart rate variability data. For the logistic map these measures enable us not only to detect transitions between chaotic and periodic states, but also to identify laminar states, i.e. chaos-chaos transitions. The traditional recurrence quantification analysis fails to detect the latter transitions. Applying our new measures to the heart rate variability data, we are able to detect and quantify the laminar phases before a life-threatening cardiac arrhythmia occurs thereby facilitating a prediction of such an event. Our findings could be of importance for the therapy of malignant cardiac arrhythmias.
Y1  - 2002
UR  - https://publishup.uni-potsdam.de/frontdoor/index/index/docId/16781
UR  - http://arxiv.org/abs/physics/0201064
ER  -