2012 Fiscal Year Final Research Report
Fractal formation mechanism in hierarchically complex systems and fractal design
| Project/Area Number |
22560058
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Single-year Grants |
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| Section | 一般 |
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| Research Field |
Engineering fundamentals
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| Research Institution | Hokkaido University |
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Principal Investigator |
YAKUBO Kousuke 北海道大学, 大学院・工学研究院, 教授 (40200480)
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| Co-Investigator(Kenkyū-buntansha) |
SHIMA Hiroyuki 山梨大学, 大学院・医学工学総合研究, 准教授 (40312392)
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| Project Period (FY) |
2010 – 2012
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| Keywords | 数理工学(数理的解析・計画・設計・最適化) |
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| Research Abstract |
In this project, we have studied theoretically the fractality appearing in several hierarchical levels of complex systems. This study involves (1) clarifying universal properties in structural fluctuations and their origins, (2) understanding formation mechanisms of fractals, and (3) designing theoretically functional fractal structures. In particular, statistical properties of fractal systems in different scales, from macroscopic classical systems to nanoscale quantum ones and complex networks with no Euclidean distance, have been systematically studied.
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