Name
Abstract | ||
|---|---|---|
The dynamical behavior of networked complex systems is shaped not only by the direct links among the units, but also by the long-range interactions occurring through the many existing paths connecting the network nodes. In this work, we study how synchronization dynamics is influenced by these long-range interactions, formulating a model of coupled oscillators that incorporates this type of interactions through the use of d-path Laplacian matrices. We study synchronizability of these networks by the analysis of the Laplacian spectra, both theoretically and numerically, for real-world networks and artificial models. Our analysis reveals that in all networks long-range interactions improve network synchronizability with an impact that depends on the original structure, for instance, it is greater for graphs having a larger diameter. We also investigate the effects of edge removal in graphs with long-range interactions and, as a major result, find that the removal process becomes more critical, since the long-range influence of the removed link also disappears. |
Year | DOI | Venue |
|---|---|---|
2018 | 10.1137/17M1124310 | SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS |
Keywords | Field | DocType |
networks of coupled dynamical systems,long-range interactions,synchronization | Complex system,Topology,Oscillation,Synchronization,Synchronization networks,Matrix (mathematics),Control theory,Modeling and simulation,Node (networking),Mathematics,Laplace operator | Journal |
Volume | Issue | ISSN |
17 | 1 | 1536-0040 |
Citations | PageRank | References |
1 | 0.35 | 7 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Ernesto Estrada | 1 | 21 | 8.85 |
| Lucia Valentina Gambuzza | 2 | 54 | 6.94 |
| Mattia Frasca | 3 | 313 | 60.35 |