Name
Title | ||
|---|---|---|
Deriving Information about Architecture from Activity Patterns in Coupled Cell Systems |
Abstract | ||
|---|---|---|
In coupled networks, the properties of the constituent elements ( cells), their interactions, and the coupling architecture combine to determine the possible coherent states that may arise. In this work, we examine what can be said about the coupling architecture of a network based on an observed polysynchronous activity pattern, in which cells form multiple synchronized clusters. Specifically, we derive a linear relation, the solutions of which are precisely those coupling architectures that are robustly compatible with a given polysynchronous state. We analyze this relation under the assumption that the network consists of either a ring of identical cells or a double ring of two interacting cell populations. Comparison of these cases shows that coupling of an "observed" layer of cells to a second "hidden" layer can significantly broaden the range of architectures that support certain clustering patterns in the observed cells. |
Year | DOI | Venue |
|---|---|---|
2005 | 10.1137/040607587 | SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS |
Keywords | Field | DocType |
network coupling architecture,polysynchronous states,balanced coloring | Topology,Cluster (physics),Architecture,Coupling,Mathematical analysis,Theoretical computer science,Cluster analysis,Coherent states,Linear relation,Mathematics | Journal |
Volume | Issue | ISSN |
4 | 1 | 1536-0040 |
Citations | PageRank | References |
1 | 0.41 | 4 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Kresimir Josic | 1 | 123 | 16.63 |
| Jonathan E. Rubin | 2 | 235 | 31.34 |