title: 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.
authors.affiliation: Complex Systems Lab, Indian Institute of Technology Indore, Indore-452017, India.|Centre for Bio-Science and Bio-Medical Engineering, Indian Institute of Technology Indore, Indore-452017, India.
authors.forename: Sarika
authors.initials: S
authors.lastname: Jalan
authors.affiliation: Complex Systems Lab, Indian Institute of Technology Indore, Indore-452017, India.
authors.forename: Aradhana
authors.initials: A
authors.lastname: Singh
authors.affiliation: Physical Research Laboratory, Navrangpura, Ahmedabad-380009, India.
authors.forename: Suman
authors.initials: S
authors.lastname: Acharyya
authors.affiliation: Potsdam Institute for Climate Impact Research, D-14412 Potsdam, Germany.|Institute for Complex Systems and Mathematical Biology, University of Aberdeen, Aberdeen-AB243FX, United Kingdom.
authors.forename: Jürgen
authors.initials: J
authors.lastname: Kurths
mesh_terms: D008962:Models, Theoretical; D017711:Nonlinear Dynamics; D010507:Periodicity