Synchronization of spatially distributed oscillators

2014 Fiscal Year Final Research Report

• Project/Area Number: 24651184
• Research Category: Grant-in-Aid for Challenging Exploratory Research
• Allocation Type: Multi-year Fund
• Research Field: Social systems engineering/Safety system
• 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)
• Project Period (FY): 2012-04-01 – 2015-03-31
• 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.

Free Research Field

非線形科学