AI Article Synopsis
- A new network of coupled maps is introduced, featuring no delays in connections but delayed communication within the units.
- The synchronization of this network is influenced by the units' dynamics, connection patterns, and both the delays and coupling strength.
- Key findings reveal that more neighbors facilitate synchronization and that odd delays are more conducive to synchronization than even delays, with the new model showing improved synchronizability compared to previous studies.
Article Abstract
A new network of coupled maps is proposed in which the connections between units involve no delays but the intra-neural communication does, whereas in the work of Atay et al. [Phys. Rev. Lett. 92, 144101 (2004)], the focus is on information processing delayed by the inter-neural communication. We show that the synchronization of the network depends on not only the intrinsic dynamical features and inter-connection topology (characterized by the spectrum of the graph Laplacian) but also the delays and the coupling strength. There are two main findings: (i) the more neighbours, the easier to be synchronized; (ii) odd delays are easier to be synchronized than even ones. In addition, compared with those discussed by Atay et al. [Phys. Rev. Lett. 92, 144101 (2004)], our model has a better synchronizability for regular networks and small-world variants.
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| http://dx.doi.org/10.1063/1.4825095 | DOI Listing |
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