Explosive synchronization in clustered scale-free networks: Revealing the existence of chimera state

The collective dynamics of Kuramoto oscillators with a positive correlation between the incoherent and fully coherent domains in clustered scale-free networks is studied. Emergence of chimera states for the onsets of explosive synchronization transition is observed during an intermediate coupling re...

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Bibliographic Details
Published inThe European physical journal. ST, Special topics Vol. 225; no. 1; pp. 7 - 15
Main Author Berec, V.
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 01.02.2016
Subjects
Atomic
Classical and Continuum Physics
Condensed Matter Physics
Materials Science
Measurement Science and Instrumentation
Molecular
Optical and Plasma Physics
Physics
Physics and Astronomy
Regular Article
Synchronization and Control in Time-Delayed Complex Networks and Spatio-Temporal Patterns
Scale Free Network
Coupling Strength
Algebraic Connectivity
European Physical Journal Special Topic
Simplicial Complex
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Summary:The collective dynamics of Kuramoto oscillators with a positive correlation between the incoherent and fully coherent domains in clustered scale-free networks is studied. Emergence of chimera states for the onsets of explosive synchronization transition is observed during an intermediate coupling regime when degree-frequency correlation is established for the hubs with the highest degrees. Diagnostic of the abrupt synchronization is revealed by the intrinsic spectral properties of the network graph Laplacian encoded in the heterogeneous phase space manifold, through extensive analytical investigation, presenting realistic MC simulations of nonlocal interactions in discrete time dynamics evolving on the network.
ISSN:1951-6355
1951-6401
DOI:10.1140/epjst/e2016-02611-2