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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Synchronization versus neighborhood similarity in complex networks of nonidentical oscillators

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Author(s):
Freitas, Celso [1] ; Macau, Elbert [1] ; Viana, Ricardo Luiz [2]
Total Authors: 3
Affiliation:
[1] Natl Inst Space Res INPE, Associate Lab Comp & Appl Math LAC, BR-12245970 Sao Jose Dos Campos, SP - Brazil
[2] Fed Univ Parana UFPR, Dept Phys, BR-81531990 Curitiba, Parana - Brazil
Total Affiliations: 2
Document type: Journal article
Source: Physical Review E; v. 92, n. 3 SEP 2 2015.
Web of Science Citations: 7
Abstract

Does the assignment order of a fixed collection of slightly distinct subsystems into given communication channels influence the overall ensemble behavior? We discuss this question in the context of complex networks of nonidentical interacting oscillators. Three types of connection configurations are considered: Similar, Dissimilar, and Neutral patterns. These different groups correspond, respectively, to oscillators alike, distinct, and indifferent relative to their neighbors. To construct such scenarios we define a vertex-weighted graph measure, the total dissonance, which comprises the sum of the dissonances between all neighbor oscillators in the network. Our numerical simulations show that the more homogeneous a network, the higher tend to be both the coupling strength required for phase locking and the associated final phase configuration spread over the circle. On the other hand, the initial spread of partial synchronization occurs faster for Similar patterns in comparison to Dissimilar ones, while neutral patterns are an intermediate situation between both extremes. (AU)

FAPESP's process: 11/50151-0 - Dynamical phenomena in complex networks: fundamentals and applications
Grantee:Elbert Einstein Nehrer Macau
Support type: Research Projects - Thematic Grants