Impact of a leader on cluster synchronization
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.
- Publication:
-
Physical Review E
- Pub Date:
- February 2015
- DOI:
- 10.1103/PhysRevE.91.022901
- arXiv:
- arXiv:1502.05830
- Bibcode:
- 2015PhRvE..91b2901J
- Keywords:
-
- 05.45.Xt;
- 05.45.Pq;
- Synchronization;
- coupled oscillators;
- Numerical simulations of chaotic systems;
- Nonlinear Sciences - Chaotic Dynamics
- E-Print:
- 5 pages, 5 figures