| Presentation | 2012-03-28 Network Structure Design for Synchronization of Nonlinear Systems with Time-delay Couplings Momoko NAKAMURA, Toshiki OGUCHI, |
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| PDF Download Page |  PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | This paper considers the synchronization problem in networks of chaotic systems with diffusive delay couplings. We know an estimation method of the full synchronization region concerning the coupling strength and the time-delay for coupled systems with general network structures. The method is based on the eigenvalues of the corresponding graph Laplacian and the synchronization condition can be obtained by scaling the synchronization condition for two mutually coupled systems with respect to the couping strength. In the graph theory, the graph Laplacian of the Cartesian product of two graphs is equal to the Kronecker sum of graph Laplacians corresponding to the original two graphs. Using this property, we propose how to design a network structure such that the network is completely synchronized under the same synchronization condition as a smaller size of network. Unlike conventional approaches to the synchronization problem, this study focuses on the synthesis problem of network synchronization. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | synchronization / graph Laplacian / structure design |
| Paper # | NLP2011-155 |
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| Conference Information | |
| Committee | NLP |
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| Conference Date | 2012/3/20(1days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | |
| Topics (in Japanese) | (See Japanese page) |
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| Paper Information | |
| Registration To | Nonlinear Problems (NLP) |
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| Language | JPN |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Network Structure Design for Synchronization of Nonlinear Systems with Time-delay Couplings |
| Sub Title (in English) | |
| Keyword(1) | synchronization |
| Keyword(2) | graph Laplacian |
| Keyword(3) | structure design |
| 1st Author's Name | Momoko NAKAMURA |
| 1st Author's Affiliation | Graduate School of Science & Engineering, Tokyo Metropolitan University() |
| 2nd Author's Name | Toshiki OGUCHI |
| 2nd Author's Affiliation | Graduate School of Science & Engineering, Tokyo Metropolitan University |
| Date | 2012-03-28 |
| Paper # | NLP2011-155 |
| Volume (vol) | vol.111 |
| Number (no) | 498 |
| Page | pp.pp.- |
| #Pages | 4 |
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