Journal
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
Volume 310, Issue 1-2, Pages 245-259Publisher
ELSEVIER
DOI: 10.1016/S0378-4371(02)00798-7
Keywords
networks; phase transitions; critical properties; percolation; complex systems
Categories
Ask authors/readers for more resources
Random Threshold Networks with sparse. asymmetric connections show complex dynamical behavior similar to Random Boolean Networks. with a transition from ordered to chaotic dynamics at a critical average connectivity K-c. In this type of model-contrary to Boolean Networks-propagation of local perturbations (damage) depends on the in-degree of the sites. K-c is determined analytically. using an annealed approximation, and the results are con-firmed by numerical simulations. It is shown that the statistical distributions of damage spreading near the percolation transition obey power-laws, and dynamical correlations between active network clusters become maximal. We investigate the effect of local damage suppression at highly connected nodes for networks with scale-free in-degree distributions. Possible relations of our findings to proper-ties of real-world networks, like robustness and non-trivial degree-distributions, are discussed. (C) 2002 Elsevier Science B.V. All rights reserved.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available