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.
|Number of pages||5|
|Journal||Physical Review. E, Statistical, Nonlinear and Soft Matter Physics|
|Publication status||Published - 2 Feb 2015|
Jalan, S., Singh, A., Acharya, S., & Kurths, J. (2015). Impact of leader on cluster synchronization. Physical Review. E, Statistical, Nonlinear and Soft Matter Physics, E91, . https://doi.org/10.1103/PhysRevE.91.022901