2014 Fiscal Year Final Research Report
Ultradicrete analysis of differential equations
Project/Area Number |
23740125
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Research Category |
Grant-in-Aid for Young Scientists (B)
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Allocation Type | Multi-year Fund |
Research Field |
Global analysis
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Research Institution | Tokyo University of Agriculture and Technology (2012-2014) Aoyama Gakuin University (2011) |
Principal Investigator |
MURATA Mikio 東京農工大学, 工学(系)研究科(研究院), 講師 (60447365)
|
Research Collaborator |
MATSUYA Keisuke
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Project Period (FY) |
2011-04-28 – 2015-03-31
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Keywords | 解析学 / 関数方程式 |
Outline of Final Research Achievements |
Ultradiscretization is a limiting procedure transforming a given difference equation into a cellular automaton. The cellular automaton constructed by this procedure preserves the essential properties of the original equation, such as the structure of exact solutions for integrable equations. During the research period, cellular automaton analogs of reaction-diffusion systems which are not an integrable system are constructed by the ultradiscretization. The shape, behavior and stability of the solutions in ultradiscrete systems are similar to those in continuous systems.
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Free Research Field |
可積分系
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