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Eigenvalue decomposition as a generalized synchronization cluster analysis

Allefeld, C. ORCID: 0000-0002-1037-2735, Mueller, M. and Kurths, J. (2007). Eigenvalue decomposition as a generalized synchronization cluster analysis. International Journal of Bifurcation and Chaos, 17(10), pp. 3483-3491. doi: 10.1142/S0218127407019251

Abstract

We report results on the synchronization of two organ pipes positioned side by side. Special attention is put on the synchronization of the higher harmonics. As possible explanation, classical theory provides the amplitude death as explanation for the reduction to almost silence of two coupled organ pipes. With our measurements we exclude this scenario. The higher harmonics show a behavior in perfect coincidence with synchronization theory. In addition we investigate the dependence on the coupling of two pipes by varying their distance. In the context of synchronization in networks, a new synchronization effect is observed for extended systems with two distributed, slightly different delays.

Publication Type: Article
Additional Information: Electronic version of an article published as:International Journal of Bifurcation and Chaos,17(10), 2007, 3483–3491. doi:10.1142/S0218127407019251 © World Scientific Publishing Company http://www.worldscinet.com/ijbc/
Publisher Keywords: Eigenvalue decomposition, synchronization matrix, phase synchronization, cluster analysis
Subjects: Q Science > QC Physics
Departments: School of Arts & Social Sciences > Psychology
URI: https://openaccess.city.ac.uk/id/eprint/22839
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