2014/11/06 by Winnie Poel, Anna Zakharova, Eckehard Schöll · 1 citation
Physics and Astronomy · #nlin.AO
paper · pdf · doi:10.1103/physreve.91.022915
published as Phys. Rev. E 91, 022915, 2015
arxiv created 2014/11/06 · arxiv updated 2015/02/19
We study the interplay between network topology and complex space-time patterns and introduce a concept to analytically predict complex patterns in networks of Stuart-Landau oscillators with linear symmetric and instantaneous coupling based solely on the network topology. These patterns consist of partial amplitude death and partial synchronization and are found to exist in large variety for all undirected networks of up to 5 nodes. The underlying concept is proved to be robust with respect to frequency mismatch and can also be extended to larger networks. In addition it directly links the stability of complete in-phase synchronization to only a small subset of topological eigenvalues of a network.