2014 Fiscal Year Final Research Report
Synchronization of spatially distributed oscillators
Project/Area Number |
24651184
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Research Category |
Grant-in-Aid for Challenging Exploratory Research
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Allocation Type | Multi-year Fund |
Research Field |
Social systems engineering/Safety system
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Research Institution | Tokyo Institute of Technology |
Principal Investigator |
TANAKA Takuma 東京工業大学, 総合理工学研究科(研究院), 助教 (40526224)
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Project Period (FY) |
2012-04-01 – 2015-03-31
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Keywords | 位相振動子 / 力学系 / 集団運動 |
Outline of Final Research Achievements |
Although I initially investigated a method to synchronize spatially distributed oscillators, it was found to be difficult to implement this method in real systems. Thus, I next attempted to develop an analytically tractable model of mutually interacting particles. The model consists of mutually interacting particles on an M-dimensional unit sphere. Particles rotate on the sphere when no force is exerted on them and are attracted to each other. I found that the motion of the center of mass of an infinite number of particles can be described by an M-dimensional ordinary differential equation even if particles have different speeds of rotation.
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Free Research Field |
非線形科学
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