NJIT Applied Mathematics Colloquium

Friday, October 14, 2011, 11:30am

Cullimore Lecture Hall II
New Jersey Institute of Technology



Chimera states in heterogeneous Kuramoto networks

Carlo Laing

MasseyUniversity

Chimera states occur when a network of identical oscillators splits into two groups, one consisting of synchronous oscillators, the other of partially-synchronous oscillators. We show how to analyze such states when the oscillators are not identical, using the recent ansatz of Ott and Antonsen to derive non-local differential equations governing the network dynamics in the continuum limit. The same techniques can be used to study transient fronts which connect
regions of high synchrony with regions of asynchrony.