Title
Chaos In Heterogeneous Networks With Temporally Inert Nodes
Abstract
We discuss an attractor neural network in which only a fraction rho of nodes is simultaneously updated. In addition, the network has a heterogeneous distribution of connection weights and, depending on the current degree of order, connections are changed at random by a factor Phi on short-time scales. The resulting dynamic attractors may become unstable in a certain range of Phi thus ensuing chaotic itineracy which highly depends on rho. For intermediate values of rho, we observe that the number of attractors visited increases with rho, and that the trajectory may change from regular to chaotic and vice versa as rho is modified. Statistical analysis of time series shows a power-law spectra under conditions in which the attractors' space is most efficiently explored.
Year
DOI
Venue
2009
10.1142/S0218127409023032
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
Keywords
DocType
Volume
Chaotic switching, complex functionality in networks, criticality, transition to chaos
Journal
19
Issue
ISSN
Citations 
2
0218-1274
1
PageRank 
References 
Authors
0.53
8
3
Name
Order
Citations
PageRank
Joaquín J. Torres114219.57
Joaquín Marro2113.75
Sebastiano de Franciscis382.32