Abstract
Many real networks have been found to have a rich degree of symmetry, which is a universal structural property of network, yet the synchronization of the symmetry network has not been full studied. Hence, we introduce the concept of symmetry network, core and orbit. Then we revised the Kuramoto model to investigate the synchronization property of oscillators on symmetry network. We statistics the automorphism group of the BA model finding that the SF network has richly symmetry and simulated the synchronization of orbit of automorphism group. Analysis of these simulations shows that symmetry structure of network has better synchronization.
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Tao, S., Du, G. (2011). Synchronization of Symmetry Network. In: Wu, Y. (eds) High Performance Networking, Computing, and Communication Systems. ICHCC 2011. Communications in Computer and Information Science, vol 163. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-25002-6_53
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DOI: https://doi.org/10.1007/978-3-642-25002-6_53
Publisher Name: Springer, Berlin, Heidelberg
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