Abstract
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.
Original language | English |
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Article number | 048701 |
Number of pages | 1 |
Journal | Physical Review Letters |
Volume | 104 |
Issue number | 4 |
DOIs | |
Publication status | Published - Jan 2010 |