2011 Fiscal Year Final Research Report
New approach to predict various oscillatory dynamics
| Project/Area Number |
20540116
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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 |
General mathematics (including Probability theory/Statistical mathematics)
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| Research Institution | Meiji University (2011)
Osaka University (2008-2010) |
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Principal Investigator |
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| Co-Investigator(Renkei-kenkyūsha) |
KUWAMURA Masataka 神戸大学, 発達科学部, 准教授 (30270333)
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| Project Period (FY) |
2008 – 2011
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| Keywords | ウェーブ不安定化 / 反応拡散系 / 3重退化分岐 / 擬似回転波 |
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| Research Abstract |
Normal form for a wave instability under SO(2) symmetry is studied to understand oscillatory patterns for 3-component reaction-diffusion equations on a sphere. It turns out that there are rotating and standing waves in the case of lower mode instabilities and stabilities for both solutions are studied. Another possibilities for oscillatory patterns are also discussed. It turns out that 3-component RD system can have 1-2-3 triple modes degeneracy and its normal form was obtained. Normal form analysis shows that there is Hopf bifurcation point from 1-mode stationary solution.
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