Elucidation of the dynamics and transition phenomena in oscillator networks including inactive elements
| Project/Area Number |
26400401
|
|---|
| Research Category |
Grant-in-Aid for Scientific Research (C)
|
| Allocation Type | Multi-year Fund |
|---|
| Section | 一般 |
|---|
| Research Field |
Mathematical physics/Fundamental condensed matter physics
|
|---|
| Research Institution | Osaka Prefecture University |
|---|
Principal Investigator |
Daido Hiroaki 大阪府立大学, 工学(系)研究科(研究院), 教授 (70188465)
|
|---|
| Project Period (FY) |
2014-04-01 – 2017-03-31
|
| Project Status |
Completed (Fiscal Year 2016)
|
| Budget Amount *help |
¥4,810,000 (Direct Cost: ¥3,700,000、Indirect Cost: ¥1,110,000)
Fiscal Year 2016: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2015: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
Fiscal Year 2014: ¥1,950,000 (Direct Cost: ¥1,500,000、Indirect Cost: ¥450,000)
|
|---|
| Keywords | 結合振動子系 / ネットワーク / エイジング転移 / 興奮性 / 同期転移 / ヒステリシス |
|---|
| Outline of Final Research Achievements |
The present study focuses on the behaviors of globally (i.e., all-to-all) coupled dynamical units, each of which shows either excitability or oscillation depending on its bifurcation parameter. Excitability means returning to a stable fixed point after large deviations from it when the magnitude of perturbation exceeds a threshold. Any increase in the ratio of inactive (here, excitable) units in the system is defined as "aging", which causes an aging transition from the dynamic phase to the static one. The control parameters are the coupling strength and the average of bifurcation parameters of all units. The main results are theoretical explanations of the bifurcation structure and scaling laws of order parameters near the aging transition boundary in the phase diagram. The boundary in the dynamic phase is also theoretically derived. Another subject is the susceptibility of large populations of coupled phase oscillators, whose expression is theoretically obtained.
|
Report
(4 results)
Research Products
(19 results)
-
-
-
-
-
-
-
-
-
-
-
[Presentation] 振動子集団の感受率2015
Author(s)
大同寛明
Organizer
日本物理学会2015年秋季大会
Place of Presentation
関西大学千里山キャンパス、吹田市
Year and Date
2015-09-16
Related Report
-
-
-
-
-
-
-
-
