Redundancy and error resilience in Boolean networks

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17 Citations (Scopus)

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 languageEnglish
Article number048701
Number of pages1
JournalPhysical Review Letters
Volume104
Issue number4
DOIs
Publication statusPublished - Jan 2010

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