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 language | English |
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Article number | 022901 |
Journal | Physical Review E |
Volume | 91 |
Issue number | 2 |
DOIs | |
State | Published - 2 Feb 2015 |
Externally published | Yes |
Bibliographical note
Publisher Copyright:© 2015 American Physical Society.
Funding
Funders | Funder number |
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Council of Scientific and Industrial Research | 25(0205)/12/EMR-II |