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Complete Synchronization of Boolean Networks

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2 Author(s)
Rui Li ; State Key Lab. for Turbulence & Complex Syst., Peking Univ., Beijing, China ; Tianguang Chu

We examine complete synchronization of two deterministic Boolean networks (BNs) coupled unidirectionally in the drive-response configuration. A necessary and sufficient criterion is presented in terms of algebraic representations of BNs. As a consequence, we show that complete synchronization can occur only between two conditionally identical BNs when the transition matrix of the drive network is nonsingular. Two examples are worked out to illustrate the obtained results.

Published in:

Neural Networks and Learning Systems, IEEE Transactions on  (Volume:23 ,  Issue: 5 )