Intrinsic properties of Boolean dynamics in complex networks

摘要: Abstract We study intrinsic properties of attractor in Boolean dynamics complex networks with scale-free topology, comparing those the so-called Kauffman's random networks. numerically both frozen and relevant nodes each relatively small ( 20 ⩽ N 200 ). investigate robustness an to a perturbation. An cycle length l c network size consists states state space 2 states; has arrangement nodes, where sweeps states. define perturbation as flip on single node at given time step. show that rate between unfrozen topology is larger than model. Furthermore, we find fluctuation in-degree number, attractors are more sensitive for highly connected (i.e. input-hub node) less node. By some numerical examples, number increases, when coincident and/or output-hub large output-degree) one another.