A bifurcationtheory of infinitedimensional dynamical systems and its applications to coupled oscillators
Project/Area Number |
22740069
|
Research Category |
Grant-in-Aid for Young Scientists (B)
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Allocation Type | Single-year Grants |
Research Field |
General mathematics (including Probability theory/Statistical mathematics)
|
Research Institution | Kyushu University |
Principal Investigator |
CHIBA Hayato 九州大学, マス・フォア・インダストリ研究所, 助教 (70571793)
|
Project Period (FY) |
2010 – 2012
|
Project Status |
Completed (Fiscal Year 2012)
|
Budget Amount *help |
¥3,640,000 (Direct Cost: ¥2,800,000、Indirect Cost: ¥840,000)
Fiscal Year 2012: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2011: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2010: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
|
Keywords | 力学系 / 解析学 / 蔵本モデル / 無限次元力学系 / スペクトル理論 |
Research Abstract |
A system of coupled oscillators called the Kuramoto model, which describes synchronization phenomena, has been investigated. I have established a new spectral theory of linear operators based on a Gelfand triplet, and it is applied to prove the Kuramoto conjecture on a bifurcation structure ofthe Kuramoto model. It is revealed that a synchronization occurs if the couplingstrength is sufficiently large
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Report
(4 results)
Research Products
(21 results)