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 partiallysynchronous oscillators. We show how to analyze such
states when the oscillators are not identical, using the recent ansatz
of Ott and Antonsen to derive nonlocal 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.
