Analysis and control of self-organization in coupled dynamical systems on complex networks

2016 Fiscal Year Final Research Report

• Project/Area Number: 25540108
• Research Category: Grant-in-Aid for Challenging Exploratory Research
• Allocation Type: Multi-year Fund
• Research Field: Soft computing
• Research Institution: Tokyo Institute of Technology
• Principal Investigator: Nakao Hiroya 東京工業大学, 工学院, 准教授 (40344048)
• Project Period (FY): 2013-04-01 – 2017-03-31
• Keywords: 非線形ダイナミクス / 複雑ネットワーク / 自己組織化

Outline of Final Research Achievements

In this research project, self-organization phenomena in systems of autonomous elements interacting over complex networks have been explored and analyzed, and methods to optimize and control such systems have been investigated. During the project period, Turing instability and pattern formation in reaction-diffusion systems on networks and their generalization to various mathematical models, response analysis of collective dynamics in coupled oscillators on networks and control of their synchronization by external noise, and localization properties of eigenvectors of the Laplacian matrix describing diffusion processes on networks, have been investigated. Results of the research have been published in international academic journals and reported in domestic and overseas conferences and workshops.

Free Research Field

非線形科学