Physics – Biological Physics
Scientific paper
2009-09-09
Phys. Rev. Lett. 104, 048701 (2010)
Physics
Biological Physics
4 pages, 5 figures
Scientific paper
10.1103/PhysRevLett.104.048701
We consider the effect of noise in sparse Boolean Networks with redundant functions. We show that they always exhibit a non-zero error level, and the dynamics undergoes a phase transition from non-ergodicity to ergodicity, as a function of noise, after which the system is no longer capable of preserving a memory if its initial state. We obtain upper-bounds on the critical value of noise for networks of different sparsity.
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