Summary
International Symposium on Nonlinear Theory and its Applications
2008
Session Number:A1L-B
Session:
Number:A1L-B1
Efficiency of Statistical Measures to Estimate Network Structure of Chaos Coupled Systems
Yuta Ueoka, Tomoya Suzuki, Tohru Ikeguchi, Yoshihiko Horio,
pp.-
Publication Date:2008/9/7
Online ISSN:2188-5079
Summary:
Real systems often show complex behavior due to interaction among many elements and compose networks. To model and predict these systems, we estimate network structures by using only time-series data as behavior of systems. Because elements interacting each other show similar behavior, it is useful to apply the correlation coefficient, the partial correlation coefficient, the mutual information, and the transfer entropy. However, according to network topology and strength of interaction among nodes, the efficiency of these statistical measures and the optimum measure must be different. In this study, we constitute chaos coupled systems and examine the efficiency of these measures, changing model parameters. Moreover, we discuss given results on the basis of the degree of synchronization among elements and the Lyapunov exponents of system.