2009 Fiscal Year Final Research Report
Studies on dynamical systems of nonlinear phenomena with energy dissipation and the theory of stability
| Project/Area Number |
18340045
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| Research Category |
Grant-in-Aid for Scientific Research (B)
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| Allocation Type | Single-year Grants |
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| Section | 一般 |
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| Research Field |
Global analysis
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| Research Institution | Chiba University |
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Principal Investigator |
KENMOCHI Nobuyuki Chiba University, 教育学部, 教授 (00033887)
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| Co-Investigator(Kenkyū-buntansha) |
ITO Akio 近畿大学, 工学部, 准教授 (30303506)
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| Co-Investigator(Renkei-kenkyūsha) |
OHARU Shinnosuke 中央大学, 理工学部, 教授 (40063721)
OTANI Mitsuharu 早稲田大学, 理工学術院, 教授 (30119656)
IMAI Hotoshi 徳島大学, 工学部, 教授 (80203298)
KADOYA Atsushi 広島修道大学, 経済科学学部, 教授 (60248284)
AIKI Toyohiko 岐阜大学, 教育学部, 准教授 (90231745)
SHIRAKAWA Ken 神戸大学, 工学部, 准教授 (50349809)
FUKAO Takeshi 京都教育大学, 教育学部, 准教授 (00390469)
YAMAZAKI Noriaki 神奈川大学, 工学部, 准教授 (90333658)
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| Project Period (FY) |
2006 – 2009
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| Keywords | エネルギー消散 / 非線形現象 / 相転移 / 力学系 / 変分不等式 |
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| Research Abstract |
We tried to construct a new mathematical theory for clarifying the mechanisms of nonlinear and complex phenomena in the real world and to make use of it to handle some concrete problems arising in the material and life science. In fact, our new mathematical theory provided an effective approach for some open questions. This is one of the most important achievements in this research, and the so-called "Life Mathematics" has been evolved in the same framework.
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