Bifurcations in a star-like network of Stuart-Landau oscillators

  • In this paper, we analytically study a star motif of Stuart-Landau oscillators, derive the bifurcation diagram and discuss the different forms of synchronization arising in such a system. Despite the parameter mismatch between the central node and the peripheral ones, an analytical approach independent of the number of units in the system has been proposed. The approach allows to calculate the separatrices between the regions with distinct dynamical behavior and to determine the nature of the different transitions to synchronization appearing in the system. The theoretical analysis is supported by numerical results.

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Metadaten
Author:Mattia Frasca, Andre Bergner, Jürgen KurthsORCiDGND, Luigi Fortuna
DOI:https://doi.org/10.1142/S0218127412501738
ISSN:0218-1274 (print)
Parent Title (English):International journal of bifurcation and chaos : in applied sciences and engineering
Publisher:World Scientific
Place of publication:Singapore
Document Type:Article
Language:English
Year of first Publication:2012
Year of Completion:2012
Release Date:2017/03/26
Tag:Complex networks; bifurcations; synchronization
Volume:22
Issue:7
Pagenumber:13
Funder:DAAD/Ateneo Italo-Tedesco under the VIGONI Project; DFG Research group HIMPAC; EU ITN LINC
Organizational units:Mathematisch-Naturwissenschaftliche Fakultät / Institut für Physik und Astronomie
Peer Review:Referiert