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ファイル | 記述 | サイズ | フォーマット | |
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PhysRevE.91.012908.pdf | 1.76 MB | Adobe PDF | 見る/開く |
タイトル: | Self-organization of complex networks as a dynamical system |
著者: | Aoki, Takaaki Yawata, Koichiro Aoyagi, Toshio https://orcid.org/0000-0002-8391-0565 (unconfirmed) |
著者名の別形: | 青柳, 富誌生 |
発行日: | 12-Jan-2015 |
出版者: | American Physical Society |
誌名: | Physical review. E, Statistical, nonlinear, and soft matter physics |
巻: | 91 |
号: | 1 |
論文番号: | 012908 |
抄録: | To understand the dynamics of real-world networks, we investigate a mathematical model of the interplay between the dynamics of random walkers on a weighted network and the link weights driven by a resource carried by the walkers. Our numerical studies reveal that, under suitable conditions, the co-evolving dynamics lead to the emergence of stationary power-law distributions of the resource and link weights, while the resource quantity at each node ceaselessly changes with time. We analyze the network organization as a deterministic dynamical system and find that the system exhibits multistability, with numerous fixed points, limit cycles, and chaotic states. The chaotic behavior of the system leads to the continual changes in the microscopic network dynamics in the absence of any external random noises. We conclude that the intrinsic interplay between the states of the nodes and network reformation constitutes a major factor in the vicissitudes of real-world networks. |
著作権等: | ©2015 American Physical Society |
URI: | http://hdl.handle.net/2433/201831 |
DOI(出版社版): | 10.1103/PhysRevE.91.012908 |
PubMed ID: | 25679683 |
出現コレクション: | 学術雑誌掲載論文等 |
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