Phase description approach to synchronization of oscillatory convection
| Project/Area Number |
25800222
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| Research Category |
Grant-in-Aid for Young Scientists (B)
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| Allocation Type | Multi-year Fund |
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| Research Field |
Mathematical physics/Fundamental condensed matter physics
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| Research Institution | Japan Agency for Marine-Earth Science and Technology |
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Principal Investigator |
KAWAMURA Yoji 国立研究開発法人海洋研究開発機構, 数理科学・先端技術研究分野, 研究員 (90455494)
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| Project Period (FY) |
2013-04-01 – 2016-03-31
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| Project Status |
Completed (Fiscal Year 2015)
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| Budget Amount *help |
¥4,030,000 (Direct Cost: ¥3,100,000、Indirect Cost: ¥930,000)
Fiscal Year 2015: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2014: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2013: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
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| Keywords | 同期現象 / 振動現象 / 位相縮約 / 位相記述 / 振動対流 / 集団振動 / 最適化 / 進行振動解 / 数理科学 / 非線形科学 / 自己組織化 / 位相縮約法 / 共通ノイズ / 振動子ネットワーク / 非線形動力学 / リミット・トーラス解 / 時間的・空間的な位相 |
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| Outline of Final Research Achievements |
We have formulated a theory for the phase description of oscillatory convection in Hele-Shaw cells. The theory can be considered as a phase reduction method for limit-cycle solutions in infinite-dimensional dynamical systems, namely, limit-cycle solutions to partial differential equations representing oscillatory convection. Furthermore, we have also formulated a theory for the phase description of oscillatory convection in a cylindrical Hele-Shaw cell that is laterally periodic. Oscillatory convection in this system is described by a limit-torus solution that possesses two phase modes; one is a spatial phase and the other is a temporal phase. The theory can be considered as a phase reduction method for limit-torus solutions in infinite-dimensional dynamical systems, namely, limit-torus solutions to partial differential equations representing oscillatory convection with a spatially translational mode.
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Report
(4 results)
Research Products
(28 results)
