Symmetry- and Input-Cluster Synchronization in Networks

Autor: Siddique, Abu Bakar, Pecora, Louis, Hart, Joe, Sorrentino, Francesco
Rok vydání: 2018
Předmět:
Druh dokumentu: Working Paper
DOI: 10.1103/PhysRevE.97.042217
Popis: We study cluster synchronization in networks and show that the stability of all possible cluster synchronization patterns depends on a small set of Lyapunov exponents. Our approach can be applied to clusters corresponding to both orbital partitions of the network nodes (symmetry-cluster synchronization) and equitable partitions of the network nodes (input-cluster synchronization.) Our results are verified experimentally in networks of coupled opto-electronic oscillators.
Comment: 19 pages, 8 figures
Databáze: arXiv