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Global Synchronization Properties for Different Classes of Underlying Interconnection Graphs for Kuramoto Coupled Oscillators

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Future Generation Information Technology (FGIT 2009)

Part of the book series: Lecture Notes in Computer Science ((LNCCN,volume 5899))

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Abstract

This article deals with the general ideas of almost global synchronization of Kuramoto coupled oscillators and synchronizing graphs. We review the main existing results and introduce new results for some classes of graphs that are important in network optimization: complete k-partite graphs and what we have called Monma graphs.

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© 2009 Springer-Verlag Berlin Heidelberg

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Canale, E., Monzón, P., Robledo, F. (2009). Global Synchronization Properties for Different Classes of Underlying Interconnection Graphs for Kuramoto Coupled Oscillators. In: Lee, Yh., Kim, Th., Fang, Wc., Ślęzak, D. (eds) Future Generation Information Technology. FGIT 2009. Lecture Notes in Computer Science, vol 5899. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-10509-8_13

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  • DOI: https://doi.org/10.1007/978-3-642-10509-8_13

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-10508-1

  • Online ISBN: 978-3-642-10509-8

  • eBook Packages: Computer ScienceComputer Science (R0)

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