The onset of synchronization in arbitrary heterogeneous networks of interacting Kuramoto systems
Abstract
The onset of synchronization in arbitrary heterogeneous networks of many interacting Kuramoto systems is investigated. In our formulation, the coupling is global, but the coupling ratios among the different populations can be arbitrarily specified. We also allow for different natural frequency distributions for each separate population. We determine the critical value of an overall coupling strength for the onset of coherent collective behavior. The motivation is drawn from neurobiology, in which the collective dynamics of several interacting populations of oscillators (such as excitatory and inhibitory neurons and glia) are of interest.Keywords
All Related Versions
This publication has 0 references indexed in Scilit: