This is the Matlab code accompanying the paper Symmetry-independent stability analysis of synchronization patterns, Y.Zhang and A.E.Motter.
It includes:
- sbd_fast.m
Implementation of the SBD algorithm (Algorithm 1 in the paper), which finds a finest simultaneous block diagonalization of any given set of symmetric matrices.
- examples.m
Examples showing applications of the SBD algorithm in analyzing network synchronization patterns. (Including patterns arising from symmetry clusters, Laplacian clusters, equitable clusters, as well as chimera states in multilayer networks.)
- lbmap.m
Colormap file used for the plots in examples.m. Blue corresponds to positive values and red to negative values.
- random_net.txt
The adjacency matrix of a 30-node random network used in examples.m.