| 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)
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| 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.
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