Analytical methods for dynamical processes on multiplex networks based on perturbation theory
Project/Area Number |
15K12111
|
Research Category |
Grant-in-Aid for Challenging Exploratory Research
|
Allocation Type | Multi-year Fund |
Research Field |
Soft computing
|
Research Institution | Kagoshima University |
Principal Investigator |
HATA Shigefumi 鹿児島大学, 理工学域理学系, 准教授 (70735927)
|
Project Period (FY) |
2015-04-01 – 2018-03-31
|
Project Status |
Completed (Fiscal Year 2017)
|
Budget Amount *help |
¥3,510,000 (Direct Cost: ¥2,700,000、Indirect Cost: ¥810,000)
Fiscal Year 2017: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2016: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2015: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
|
Keywords | 複雑ネットワーク / パターン形成 |
Outline of Final Research Achievements |
In this project, diffusion-induced instability and pattern formation dynamics in reaction-diffusion systems on multiplex networks have been studied. During the project period, an analytical method evaluating linear stability of the uniform state in multiplex networks has been developed. A theoretical framework accounting for the localization of the Laplacian eigenvectors on random networks has been proposed.
|
Report
(4 results)
Research Products
(16 results)