| Project/Area Number |
23654042
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| Research Category |
Grant-in-Aid for Challenging Exploratory Research
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| Allocation Type | Multi-year Fund |
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| Research Field |
General mathematics (including Probability theory/Statistical mathematics)
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| Research Institution | Meiji University |
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Principal Investigator |
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| Co-Investigator(Kenkyū-buntansha) |
UEYAMA Daishin 明治大学, 総合数理学部, 教授 (20304389)
WAKASA Tohru 九州工業大学, 工学研究院, 准教授 (20454069)
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| Project Period (FY) |
2011 – 2012
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| Project Status |
Completed (Fiscal Year 2013)
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| Budget Amount *help |
¥3,770,000 (Direct Cost: ¥2,900,000、Indirect Cost: ¥870,000)
Fiscal Year 2012: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2011: ¥2,470,000 (Direct Cost: ¥1,900,000、Indirect Cost: ¥570,000)
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| Keywords | パターン形成 / 疑似解 / 非平衡系 / 反応拡散系 / 進行波解 / 応用数学 / 国際研究者交流（台湾） / 国際研究者交流(台湾) / 国際情報交流(アメリカ合衆国・フランス) / 進行波 |
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| Research Abstract |
To construct the quasi-solutions of non-equilibrium growth models, we considered the spontaneous emergence of spirals in an excitable medium. Ueyama et al and his co-workers exhibited the spiral formation influenced by the non-uniform environment using photosensitive BZ reactions and simulations. Ninomiya and his co-workers studied the wave front interaction model as the simplied model of the excitable system and constructed the rotating spots and spirals. These studies enabled us to construct the traveling spots of the singular limit problem of FitzHugh-Nagumo type systems. It revealed the mechanism of spontaneous emergence of spirals in two-dimensional excitable medium.
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