STRUCTURE AND DYNAMICS: THE TRANSITION FROM NONEQUILIBRIUM TO EQUILIBRIUM IN INTEGRATE-AND-FIRE DYNAMICS
Contribuinte(s) |
UNIVERSIDADE DE SÃO PAULO |
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Data(s) |
05/11/2013
05/11/2013
2012
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Resumo |
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. CAPES CAPES CNPq CNPq [131309/2009-9, 301303/06-1, 573583/08-0] FAPESP [10/16310-0, 05/00587-5, 07/02938-5] FAPESP PROPPUFU PROPP-UFU WCU program through the National Research Foundation of Korea WCU program through the National Research Foundation of Korea Ministry of Education, Science and Technology Ministry of Education, Science and Technology [R32-10142] CARMEN e-Science project CARMEN eScience project EPSRC EPSRC [EP/E002331/1, EP/G03950X/1] |
Identificador |
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, SINGAPORE, v. 22, n. 7, supl. 1, Part 2, pp. 816-843, JUL, 2012 0218-1274 http://www.producao.usp.br/handle/BDPI/41059 10.1142/S021812741250174X |
Idioma(s) |
eng |
Publicador |
WORLD SCIENTIFIC PUBL CO PTE LTD SINGAPORE |
Relação |
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS |
Direitos |
closedAccess Copyright WORLD SCIENTIFIC PUBL CO PTE LTD |
Palavras-Chave | #SPATIAL GRAPH #NEURAL NETWORK #INTEGRATE-AND-FIRE #SMALL-WORLD NETWORKS #COMPLEX NETWORKS #NEURONS #MATHEMATICS, INTERDISCIPLINARY APPLICATIONS #MULTIDISCIPLINARY SCIENCES |
Tipo |
article original article publishedVersion |