Summary
Proceedings of the 2012 International Symposium on Nonlinear Theory and its Applications
2012
Session Number:B2L-C
Session:
Number:381
Detecting couplings between point processes and flows
Ralph G Andrzejak, Florian Mormann, Thomas Kreuz,
pp.381-381
Publication Date:
Online ISSN:2188-5079
Summary:
The reliable detection of directional couplings from experimental signals is crucial for the study of many systems in nature. These signals can for example be given by sequences of discrete event times of point processes or by time-continuous variables measured from flows. Often experiments yield simultaneous recordings comprising both point processes and flows. The characterization of causal interactions from such signals is key to an advanced understanding of the underlying dynamics. We therefore recently introduced a unified approach to characterize unidirectional couplings between point processes, between flows, as well as between point processes and flows [1]. For this purpose we showed and exploited the generality of the asymmetric state similarity conditioning principle. We used Hindmarsh-Rose neuron models and Lorenz oscillators to illustrate the high sensitivity and specificity of our approach. We here review this novel methodology and show first applications to real-world experimental dynamics.
References:
[1] Andrzejak and Kreuz, EPL, 96 (2011) 50012