Impact of a leader on cluster synchronization

Sarika Jalan, Aradhana Singh, Suman Acharyya, Jürgen Kurths

Research output: Contribution to journalArticlepeer-review

36 Scopus citations

Abstract

We study the mechanisms of frequency-synchronized cluster formation in coupled nonidentical oscillators and investigate the impact of presence of a leader on the cluster synchronization. We find that the introduction of a leader, a 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
JournalPhysical Review E
Volume91
Issue number2
DOIs
StatePublished - 2 Feb 2015
Externally publishedYes

Bibliographical note

Publisher Copyright:
© 2015 American Physical Society.

Funding

FundersFunder number
Council of Scientific and Industrial Research25(0205)/12/EMR-II

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