| Full text | |
| Author(s): |
Comin, Cesar H.
[1]
;
Batista, Joao L. B.
[1]
;
Viana, Matheus P.
[1]
;
Costa, Luciano Da F.
[1]
;
Travencolo, Bruno A. N.
[2]
;
Kaiser, Marcus
[3, 4]
Total Authors: 6
|
| Affiliation: | [1] Univ Sao Paulo, Inst Phys Sao Carlos, BR-13560970 Sao Paulo - Brazil
[2] Univ Fed Uberlandia, Fac Computacao, BR-38400902 Uberlandia, MG - Brazil
[3] Newcastle Univ, Sch Comp Sci, Newcastle Upon Tyne NE1 7RU, Tyne & Wear - England
[4] Seoul Natl Univ, Dept Brain & Cognit Sci, Seoul 151747 - South Korea
Total Affiliations: 4
|
| Document type: | Journal article |
| Source: | INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS; v. 22, n. 7 JUL 2012. |
| Web of Science Citations: | 2 |
| Abstract | |
The transient and equilibrium properties of dynamics unfolding in complex systems can depend critically on specific topological features of the underlying interconnections. In this work, we investigate such a relationship with respect to the integrate-and-fire dynamics emanating from a source node and an extended network model that allows control of the small-world feature as well as the length of the long-range connections. A systematic approach to investigate the local and global correlations between structural and dynamical features of the networks was adopted that involved extensive simulations (one and a half million cases) so as to obtain two-dimensional correlation maps. Smooth, but diverse surfaces of correlation values were obtained in all cases. Regarding the global cases, it has been verified that the onset avalanche time (but not its intensity) can be accurately predicted from the structural features within specific regions of the map (i.e. networks with specific structural properties). The analysis at local level revealed that the dynamical features before the avalanches can also be accurately predicted from structural features. This is not possible for the dynamical features after the avalanches take place. This is so because the overall topology of the network predominates over the local topology around the source at the stationary state. (AU) | |
| FAPESP's process: | 05/00587-5 - Mesh (graph) modeling and techniques of pattern recognition: structure, dynamics and applications |
| Grantee: | Roberto Marcondes Cesar Junior |
| Support Opportunities: | Research Projects - Thematic Grants |
| FAPESP's process: | 07/02938-5 - Computational methods for characterization and analysis of neurons and glias |
| Grantee: | Bruno Augusto Nassif Travençolo |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |