Eigenvalue decomposition as a generalized synchronization cluster analysis

International Journal of Bifurcation and Chaos

Volumn 17, Issue 10, 2007, Pages 3493-3497

  Allefeld, Carsten ^a   Müller, Markus ^b   Kurths, Jürgen ^a  

^a UNIVERSITY OF POTSDAM   (Germany)

^b UNIVERSIDAD AUTÓNOMA DEL ESTADO DE MORELOS   (Mexico)

Author keywords

Cluster analysis; Eigenvalue decomposition; Phase synchronization; Synchronization matrix

Indexed keywords

CLUSTER ANALYSIS; COMPUTER SIMULATION; CORRELATION METHODS; OSCILLATORS (ELECTRONIC); SYNCHRONIZATION; TIME SERIES ANALYSIS;

EIGENVALUE DECOMPOSITION; MULTIVARIATE TIME SERIES; PHASE SYNCHRONIZATION; SYNCHRONIZATION MATRIX;

EIGENVALUES AND EIGENFUNCTIONS;

EID: 38149020019     PISSN: 02181274     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218127407019251     Document Type: Conference Paper

References (8)

1. Allefeld, C. [2004] Phase Synchronization Analysis of Event-Related Brain Potentials in Language Processing, Ph.D. thesis, University of Potsdam.
2. Allefeld, C. & Kurths, J. [2004] "An approach to multivariate phase synchronization analysis and its application to event-related potentials," Int. J. Bifurcation and Chaos 14, 417-426.
3. Anderson, T. W. [2003] An Introduction to Multivariate Statistical Analysis (Wiley).
4. Müller, M., Baier, G., Galka, A., Stephani, U. & Muhle, H. [2005] "Detection and characterization of changes of the correlation structure in multivariate time series," Phys. Rev. E 71, 046116.
5. Osipov, G. V., Pikovsky, A. S., Rosenblum, M. G. & Kurths, J. [1997] "Phase synchronization effects in a lattice of nonidentical Rössler oscillators," Phys. Rev. E 55, 2353-2361.
6. Pikovsky, A., Rosenblum, M. & Kurths, J. [2001] Synchronization: A Universal Concept in Nonlinear Sciences (Cambridge University Press).
7. Pikovsky, A. S., Rosenblum, M. G., Osipov, G. V. & Kurths, J. [1997] "Phase synchronization of chaotic oscillators by external driving," Physica D 104, 219-238.
8. Rosenblum, M. G., Pikovsky, A. S. & Kurths, J. [1996] "Phase synchronization of chaotic oscillators," Phys. Rev. Lett. 76, 1804-1807.