Pattern formation due to 1 : 2 resonance
| Project/Area Number |
21540387
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Single-year Grants |
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| Section | 一般 |
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| Research Field |
Mathematical physics/Fundamental condensed matter physics
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| Research Institution | Tottori University |
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Principal Investigator |
FUJIMURA Kaoru 鳥取大学, 大学院・工学研究科, 教授 (70294337)
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| Project Period (FY) |
2009 – 2011
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| Project Status |
Completed (Fiscal Year 2011)
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| Budget Amount *help |
¥2,860,000 (Direct Cost: ¥2,200,000、Indirect Cost: ¥660,000)
Fiscal Year 2011: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2010: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2009: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
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| Keywords | 流体物理 / パターン形成 / 定常モード間共鳴 / 弱非線形理論 |
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| Research Abstract |
Spatio-temporal pattern formation due to resonant mode interaction between steady modes having wavenumbers in the ratio 1 : 2 was investigated on a hexagonal lattice Six-dimensional amplitude equations were derived on the weakly nonlinear basis and were analyzed of the bifurcation of their solutions. Based on amplitude equations derived from modified Swift-Hohenben equation and those derived from governing equations for thermal convections, bifurcation characteristic of steady solutions were clarified. Details of unsteady solutions including heteroclinic cycles were investigated. It was found that heteroclinic orbit in two-dimensional invariant subspace was destabilize(when non-self-adjointness of the operators involved in the linearized PDEs is getting significant.
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Report
(4 results)
Research Products
(17 results)
