TY - JOUR
T1 - Redundancy and error resilience in Boolean networks
AU - Peixoto, Tiago P.
PY - 2010/1
Y1 - 2010/1
N2 - We consider the effect of noise in sparse Boolean networks with redundant functions. We show that they always exhibit a nonzero error level, and the dynamics undergoes a phase transition from nonergodicity to ergodicity, as a function of noise, after which the system is no longer capable of preserving a memory of its initial state. We obtain upper bounds on the critical value of noise for networks of different sparsity.
AB - We consider the effect of noise in sparse Boolean networks with redundant functions. We show that they always exhibit a nonzero error level, and the dynamics undergoes a phase transition from nonergodicity to ergodicity, as a function of noise, after which the system is no longer capable of preserving a memory of its initial state. We obtain upper bounds on the critical value of noise for networks of different sparsity.
UR - http://dx.doi.org/10.1103/PhysRevLett.104.048701
UR - https://www.scopus.com/pages/publications/75949110792
U2 - 10.1103/PhysRevLett.104.048701
DO - 10.1103/PhysRevLett.104.048701
M3 - Article
SN - 0031-9007
VL - 104
JO - Physical Review Letters
JF - Physical Review Letters
IS - 4
M1 - 048701
ER -