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arXiv · 1502.05830

Impact of leader on cluster synchronization

Sarika Jalan·Aradhana Singh·Suman Acharya·J. 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.

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Sarika Jalan, Aradhana Singh, Suman Acharya, J. Kurths. 2015-02-20. Impact of leader on cluster synchronization. https://doi.org/10.1103/physreve.91.022901

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