| Project/Area Number |
22540118
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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 | University of Toyama |
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Principal Investigator |
IKEDA Hideo 富山大学, 大学院理工学研究部(理学), 教授 (60115128)
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| Co-Investigator(Renkei-kenkyūsha) |
EI Shin-ichiro 九州大学, マス・フォア・インダストリ研 究所, 教授 (30201362)
OGAWA Toshiyuki 明治大学, 総合数理学部, 教授 (80211811)
MURAKAWA Hideki 九州大学, 大学院数理学研究院, 助教 (40432116)
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| Project Period (FY) |
2010-04-01 – 2014-03-31
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| Project Status |
Completed (Fiscal Year 2013)
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| Budget Amount *help |
¥4,160,000 (Direct Cost: ¥3,200,000、Indirect Cost: ¥960,000)
Fiscal Year 2013: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2012: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2011: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2010: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
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| Keywords | 応用数学 / 反応拡散系 / 非一様拡散場 / フロント，パルスのダイナミクス / 中心多様体論 / 縮約系 / 相互作用 / 特異摂動法 / 中心多様体 / 分岐現象 / 縮約形 / ダイナミクス / フロント,パルスのダイナミクス / 分岐理論 |
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| Research Abstract |
Dynamics of interactions between traveling front or back waves and the heterogeneity in the media in reaction-diffusion systems are considered. Applying the center manifold theory, we clarify the structure of reduced ODE dynamics on a center manifold, depending on the strength of the heterogeneity.
Furthermore, dynamics of interactions between traveling pulses, which are given by semi-strong interactions between traveling front and back waves, and the heterogeneity are also considered.
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