C G Assisi, V K Jirsa, and J A Kelso (2005)
Synchrony and clustering in heterogeneous networks with global coupling and parameter dispersion
PHYSICAL REVIEW LETTERS 94(1):018106.
Networks with nonidentical nodes and global coupling may display a
large variety of dynamic behaviors, such as phase clustered solutions,
synchrony, and oscillator death. The network dynamics is a function
of the parameter dispersion and may be captured by conventional
mean field approaches if it is close to the completely synchronous
state. In this Letter we introduce a novel method based on a mode
decomposition in the parameter space, which provides a low-dimensional
network description for more complex dynamic behaviors and captures
the mean field approach as a special case. The example of globally
coupled Fitzhugh-Nagumo neurons is discussed.,