Construction of particle cellular automata models using the ultradiscretization method
| Project/Area Number |
22560068
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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 |
Engineering fundamentals
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| Research Institution | Ryukoku University |
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Principal Investigator |
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| Project Period (FY) |
2010 – 2012
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| Project Status |
Completed (Fiscal Year 2012)
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| Budget Amount *help |
¥3,250,000 (Direct Cost: ¥2,500,000、Indirect Cost: ¥750,000)
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: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
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| Keywords | セルオートマトン / 超離散 / Max-Plus / 粒子系 / 束 |
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| Research Abstract |
We have succeeded in obtaining the general solutions for four-neighborhood particle cellular automata using expression of rules in terms of Max-Plus algebra. We have also succeeded in analyzing asymptotic behavior of the general solutions. Furthermore, we have obtained Max-Min-Plus expressions for five-neighborhood particle cellular automata from fundamental diagrams. The equation transformed by ultradiscrete Cole-Hopf transformation and Lagrange representation of the equation are also obtained. We have succeeded in obtaining the general solutions of ECA using Max-Min lattice.
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Report
(4 results)
Research Products
(11 results)
