Impact of leader on cluster synchronization

Sarika Jalan, Aradhana Singh, Suman Acharya, Juergen Kurths

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Abstract

We study the mechanisms of frequency synchronized cluster formation in coupled non-identical oscillators and investigate the impact of presence of a leader on the cluster synchronization. We find that the introduction of a leader, node having large parameter mismatch, induces a profound change in the cluster pattern as well as in the mechanism of the cluster formation. The emergence of a leader generates a transition from the driven to the mixed cluster state. The frequency mismatch turns out to be responsible for this transition. Additionally, for a chaotic evolution, the driven mechanism stands as a primary mechanism for the cluster formation, whereas for a periodic evolution the self-organization mechanism becomes equally responsible.
Original languageEnglish
Article number022901
Number of pages5
JournalPhysical Review. E, Statistical, Nonlinear and Soft Matter Physics
VolumeE91
DOIs
Publication statusPublished - 2 Feb 2015

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synchronism
Synchronization
Cluster Formation
Cluster State
Self-organization
oscillators
Vertex of a graph

Keywords

  • nlin.CD

Cite this

Impact of leader on cluster synchronization. / Jalan, Sarika; Singh, Aradhana; Acharya, Suman; Kurths, Juergen .

In: Physical Review. E, Statistical, Nonlinear and Soft Matter Physics, Vol. E91, 022901, 02.02.2015.

Research output: Contribution to journalArticle

Jalan, Sarika ; Singh, Aradhana ; Acharya, Suman ; Kurths, Juergen . / Impact of leader on cluster synchronization. In: Physical Review. E, Statistical, Nonlinear and Soft Matter Physics. 2015 ; Vol. E91.
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