2012 Fiscal Year Final Research Report
Study on the strong interaction among spatially localized patterns in dissipative systems
| Project/Area Number |
21340019
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| Research Category |
Grant-in-Aid for Scientific Research (B)
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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 | Tohoku University (2011-2012)
Hokkaido University (2009-2010) |
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Principal Investigator |
NISHIURA Yasumasa 東北大学, 原子分子材料科学高等研究機構, 教授 (00131277)
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| Co-Investigator(Kenkyū-buntansha) |
UEDA Keiichi 富山大学, 大学院・理工学研究部, 准教授 (00378960)
TERAMOTO Takashi 旭川医科大学, 医学部, 准教授 (40382543)
IIMA Makoto 広島大学, 大学院・理学研究科, 准教授 (90312412)
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| Co-Investigator(Renkei-kenkyūsha) |
NAKAGAKI Toshiyuki 公立はこだて未来大学, 複雑系知能学科, 教授 (70300887)
TAKAGI Seiji 北海道大学, 電子科学研究所, 助教 (80372259)
EI Shinichiro 九州大学, マス・フォア・インダストリ研究所, 教授 (30201362)
NAGAYAMA Masaharu 北海道大学, 電子科学研究所, 教授 (20314289)
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| Project Period (FY) |
2009 – 2012
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| Keywords | 空間局在解 / 大域分岐 / 応用数学 / 真正粘菌 / 自己組織化 / 反応拡散系 / 対流 / パターン形成 |
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| Research Abstract |
Spatially localized traveling patterns appear ubiquitously in nature such as neural system, gas-discharge phenomena, chemical reaction, binary convection, and motion of true slime mold. They display a variety of dynamic patterns like annihilation, coalescence,and splitting via collisions or interaction with environments. For the comprehensive understanding of these phenomena, we combine several theoretical and numerical approaches like local bifurcation analysis of higher codimension, numerical path-tracking, and reduction to finite dimensional systems, which allow us to clarify the mathematical mechanism controlling behind those dynamics.
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