Symbolic Dynamics and Networks Synchronization
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Proceedings of IEEE
Abstract
In this work we use symbolic dynamics to relate the synchronization interval of a network with the topological entropy in each node. In particular, we conclude that in some graphs there exists always a nonempty synchronization interval. Moreover, if we fix the network topology, the amplitude of the synchronization interval decreases when the topological entropy increases.
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Caneco, A., Fernandes, S., Grácio, C. and Rocha, J.L., Symbolic Dynamics and Networks Synchronization, Proceedings of IEEE Workshop on Nonlinear Maps and Applications (NOMA’07), LATTIS-INSA, Toulouse University, FRANCE, DEC. 13-14, (2007).