Paper Info
Title
Pacemakers In A Cayley Tree Of Kuramoto Oscillators
Abstract
In this work, we study a system of Kuramoto oscillators with identical frequencies in a Cayley tree. Heterogeneity in the frequency distribution is introduced in the root of the tree, allowing for analytical calculations of the phase evolution. In this work, we study a system of Kuramoto oscillators with identical frequencies in a Cayley tree. Heterogeneity in the frequency distribution is introduced in the root of the tree, allowing for analytical calculations of the phase evolution. This simple case can be regarded as a starting point in order to understand how to extract topological features of the connectivity pattern from the dynamic state of the system, and vice versa, for the general situation of a set of phase oscillators located on a tree-like network.
Year
DOI
Venue
2012
10.1142/S0218127412501611
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
Keywords
DocType
Volume
Synchronization, Cayley tree, Kuramoto model
Journal
22
Issue
ISSN
Citations 
7
0218-1274
0
PageRank 
References 
Authors
0.34
1
4
Name
Order
Citations
PageRank
PABLO M. GLEISER112414.94
Luce Prignano242.15
Conrado J. Pérez Vicente31259.12
Albert Díaz-guilera4301117.63