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| Title: | Impact of a leader on cluster synchronization |
| Authors: | Jalan, Sarika Singh, Aradhana |
| Keywords: | Condensed matter physics;Cluster formations;Cluster synchronization;Frequency mismatch;Non-identical oscillators;Parameter mismatches;Periodic evolution;Self-organization mechanisms;Synchronized clusters;Synchronization;nonlinear system;periodicity;theoretical model;Models, Theoretical;Nonlinear Dynamics;Periodicity |
| Issue Date: | 2015 |
| Publisher: | American Physical Society |
| Citation: | Jalan, S., Singh, A., Acharyya, S., & Kurths, J. (2015). Impact of a leader on cluster synchronization. Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 91(2) doi:10.1103/PhysRevE.91.022901 |
| 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. © 2015 American Physical Society. |
| URI: | https://doi.org/10.1103/PhysRevE.91.022901 https://dspace.iiti.ac.in/handle/123456789/8495 |
| ISSN: | 1539-3755 |
| Type of Material: | Journal Article |
| Appears in Collections: | Department of Physics |
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