1998 Fiscal Year Final Research Report Summary
Analysis of Non-Linear phenomema
| Project/Area Number |
08640269
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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 | NAGOYA UNIVERSITY |
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Principal Investigator |
MOIRMOTO Hiroshi Graduate School of Human Informatics, Professor, 大学院・人間情報学研究科, 教授 (20115645)
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| Co-Investigator(Kenkyū-buntansha) |
MATSUMOTO Hiroyuki School of Informatics and Sciences, Associate Professor, 情報文化学部, 助教授 (00190538)
MATUBARA You School of Informatics and Sciences, Associate Professor, 情報文化学部, 助教授 (30242788)
OZAWA Masanao School of Informatics and Sciences, Professor, 情報文化学部, 教授 (40126313)
ITO Masayuki School of Informatics and Sciences, Professor, 情報文化学部, 教授 (60022638)
IHARA Shunsuke School of Informatics and Sciences, Professor, 情報文化学部, 教授 (00023200)
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| Project Period (FY) |
1996 – 1998
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| Keywords | non-linear / non-equilibrium / open system / complex system / photosynthesis / plankton / dynamics / non-linear dynamics |
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| Research Abstract |
This project aimed to construct a mathematical theory which enables to analyze not only pure non-linear mathematical theory but also broad fields of sciences such as biology, physics and social sciences. Therefore this project seems very transcendental research. These aimes were established by the papers listed in another sheet, showing the usefulness of the pure mathematical theory which was created by the head investigator.
Concretely speaking, the head investigator extended his theory to a problem of origin of photosynthesis. He analyzed the chemical origin of metalloporphilin by using the method of probabillity theory and geometry. Moreover he continued to extend this theory to study an ecological problem such as Nitrogen Cycle form a global point of view.
As for the social sciences, the project proved the birth of cooperation in a famous "Prisoner's Dilemma" problem, by using the path integral method.
These results show the necessity of a construction of new type of mathematics. This remains to a future work.
These researches were pronouced at Newton Institute in Cambridge University, at Sofia University and at Dundee University.
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